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Finding the Third Proportional to 336,438,849,449 and 723,904,862,963

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Solution

The third proportional to 336,438,849,449 and 723,904,862,963 is: 1,557,603,265,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,438,849,449 : 723,904,862,963 = 723,904,862,963 : x
  2. Step 2: Convert to fraction form
    336,438,849,449/723,904,862,963 = 723,904,862,963/x
  3. Step 3: Cross multiply
    336,438,849,449x = 723,904,862,963 × 723,904,862,963
  4. Step 4: Simplify right side
    336,438,849,449x = 524,038,250,621,479,784,808,448
  5. Step 5: Solve for x
    x = 524,038,250,621,479,784,808,448/336,438,849,449
  6. Step 6: Final answer
    x = 1,557,603,265,733.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.