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Finding the Third Proportional to 1,791,456,736,699 and 3,948,069,418,856

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Solution

The third proportional to 1,791,456,736,699 and 3,948,069,418,856 is: 8,700,881,141,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791,456,736,699 : 3,948,069,418,856 = 3,948,069,418,856 : x
  2. Step 2: Convert to fraction form
    1,791,456,736,699/3,948,069,418,856 = 3,948,069,418,856/x
  3. Step 3: Cross multiply
    1,791,456,736,699x = 3,948,069,418,856 × 3,948,069,418,856
  4. Step 4: Simplify right side
    1,791,456,736,699x = 15,587,252,136,105,953,760,116,736
  5. Step 5: Solve for x
    x = 15,587,252,136,105,953,760,116,736/1,791,456,736,699
  6. Step 6: Final answer
    x = 8,700,881,141,471.25

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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.