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Finding the Third Proportional to 1,913,044,761,375 and 4,216,028,972,118

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Solution

The third proportional to 1,913,044,761,375 and 4,216,028,972,118 is: 9,291,418,921,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,044,761,375 : 4,216,028,972,118 = 4,216,028,972,118 : x
  2. Step 2: Convert to fraction form
    1,913,044,761,375/4,216,028,972,118 = 4,216,028,972,118/x
  3. Step 3: Cross multiply
    1,913,044,761,375x = 4,216,028,972,118 × 4,216,028,972,118
  4. Step 4: Simplify right side
    1,913,044,761,375x = 17,774,900,293,738,359,177,609,216
  5. Step 5: Solve for x
    x = 17,774,900,293,738,359,177,609,216/1,913,044,761,375
  6. Step 6: Final answer
    x = 9,291,418,921,616.17

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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.