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Finding the Third Proportional to 1,818,444,513 and 3,920,729,007

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Solution

The third proportional to 1,818,444,513 and 3,920,729,007 is: 8,453,442,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818,444,513 : 3,920,729,007 = 3,920,729,007 : x
  2. Step 2: Convert to fraction form
    1,818,444,513/3,920,729,007 = 3,920,729,007/x
  3. Step 3: Cross multiply
    1,818,444,513x = 3,920,729,007 × 3,920,729,007
  4. Step 4: Simplify right side
    1,818,444,513x = 15,372,115,946,331,205,632
  5. Step 5: Solve for x
    x = 15,372,115,946,331,205,632/1,818,444,513
  6. Step 6: Final answer
    x = 8,453,442,398.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.