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Finding the Third Proportional to 1,837,571,376 and 2,824,480,080

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Solution

The third proportional to 1,837,571,376 and 2,824,480,080 is: 4,341,430,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,571,376 : 2,824,480,080 = 2,824,480,080 : x
  2. Step 2: Convert to fraction form
    1,837,571,376/2,824,480,080 = 2,824,480,080/x
  3. Step 3: Cross multiply
    1,837,571,376x = 2,824,480,080 × 2,824,480,080
  4. Step 4: Simplify right side
    1,837,571,376x = 7,977,687,722,316,806,144
  5. Step 5: Solve for x
    x = 7,977,687,722,316,806,144/1,837,571,376
  6. Step 6: Final answer
    x = 4,341,430,121.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.