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Finding the Third Proportional to 1,686,602,094,295.50 and 2,569,421,625,657.80

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Solution

The third proportional to 1,686,602,094,295.50 and 2,569,421,625,657.80 is: 3,914,336,115,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,602,094,295.50 : 2,569,421,625,657.80 = 2,569,421,625,657.80 : x
  2. Step 2: Convert to fraction form
    1,686,602,094,295.50/2,569,421,625,657.80 = 2,569,421,625,657.80/x
  3. Step 3: Cross multiply
    1,686,602,094,295.50x = 2,569,421,625,657.80 × 2,569,421,625,657.80
  4. Step 4: Simplify right side
    1,686,602,094,295.50x = 6,601,927,490,397,970,819,448,832
  5. Step 5: Solve for x
    x = 6,601,927,490,397,970,819,448,832/1,686,602,094,295.50
  6. Step 6: Final answer
    x = 3,914,336,115,629.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.