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Finding the Third Proportional to 6,060,596,678 and 14,160,288,506

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Solution

The third proportional to 6,060,596,678 and 14,160,288,506 is: 33,084,823,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,060,596,678 : 14,160,288,506 = 14,160,288,506 : x
  2. Step 2: Convert to fraction form
    6,060,596,678/14,160,288,506 = 14,160,288,506/x
  3. Step 3: Cross multiply
    6,060,596,678x = 14,160,288,506 × 14,160,288,506
  4. Step 4: Simplify right side
    6,060,596,678x = 200,513,770,573,155,696,640
  5. Step 5: Solve for x
    x = 200,513,770,573,155,696,640/6,060,596,678
  6. Step 6: Final answer
    x = 33,084,823,364.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.