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Finding the Third Proportional to 501,371,110,854 and 1,101,238,016,577

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Solution

The third proportional to 501,371,110,854 and 1,101,238,016,577 is: 2,418,817,404,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,371,110,854 : 1,101,238,016,577 = 1,101,238,016,577 : x
  2. Step 2: Convert to fraction form
    501,371,110,854/1,101,238,016,577 = 1,101,238,016,577/x
  3. Step 3: Cross multiply
    501,371,110,854x = 1,101,238,016,577 × 1,101,238,016,577
  4. Step 4: Simplify right side
    501,371,110,854x = 1,212,725,169,154,444,830,441,472
  5. Step 5: Solve for x
    x = 1,212,725,169,154,444,830,441,472/501,371,110,854
  6. Step 6: Final answer
    x = 2,418,817,404,713.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.