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Finding the Third Proportional to 1,297,572,476 and 2,687,121,428

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Solution

The third proportional to 1,297,572,476 and 2,687,121,428 is: 5,564,715,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,572,476 : 2,687,121,428 = 2,687,121,428 : x
  2. Step 2: Convert to fraction form
    1,297,572,476/2,687,121,428 = 2,687,121,428/x
  3. Step 3: Cross multiply
    1,297,572,476x = 2,687,121,428 × 2,687,121,428
  4. Step 4: Simplify right side
    1,297,572,476x = 7,220,621,568,816,758,784
  5. Step 5: Solve for x
    x = 7,220,621,568,816,758,784/1,297,572,476
  6. Step 6: Final answer
    x = 5,564,715,422.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.