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Finding the Third Proportional to 13,658,428,710 and 31,617,293,436

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Solution

The third proportional to 13,658,428,710 and 31,617,293,436 is: 73,189,476,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658,428,710 : 31,617,293,436 = 31,617,293,436 : x
  2. Step 2: Convert to fraction form
    13,658,428,710/31,617,293,436 = 31,617,293,436/x
  3. Step 3: Cross multiply
    13,658,428,710x = 31,617,293,436 × 31,617,293,436
  4. Step 4: Simplify right side
    13,658,428,710x = 999,653,244,218,128,728,064
  5. Step 5: Solve for x
    x = 999,653,244,218,128,728,064/13,658,428,710
  6. Step 6: Final answer
    x = 73,189,476,289.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.