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Finding the Third Proportional to 1,750,712,046 and 3,791,945,820

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Solution

The third proportional to 1,750,712,046 and 3,791,945,820 is: 8,213,145,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750,712,046 : 3,791,945,820 = 3,791,945,820 : x
  2. Step 2: Convert to fraction form
    1,750,712,046/3,791,945,820 = 3,791,945,820/x
  3. Step 3: Cross multiply
    1,750,712,046x = 3,791,945,820 × 3,791,945,820
  4. Step 4: Simplify right side
    1,750,712,046x = 14,378,853,101,815,472,128
  5. Step 5: Solve for x
    x = 14,378,853,101,815,472,128/1,750,712,046
  6. Step 6: Final answer
    x = 8,213,145,693.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.