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Finding the Third Proportional to 4,497,605,584,774 and 6,851,791,001,735

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Solution

The third proportional to 4,497,605,584,774 and 6,851,791,001,735 is: 10,438,229,641,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497,605,584,774 : 6,851,791,001,735 = 6,851,791,001,735 : x
  2. Step 2: Convert to fraction form
    4,497,605,584,774/6,851,791,001,735 = 6,851,791,001,735/x
  3. Step 3: Cross multiply
    4,497,605,584,774x = 6,851,791,001,735 × 6,851,791,001,735
  4. Step 4: Simplify right side
    4,497,605,584,774x = 46,947,039,931,456,713,031,417,856
  5. Step 5: Solve for x
    x = 46,947,039,931,456,713,031,417,856/4,497,605,584,774
  6. Step 6: Final answer
    x = 10,438,229,641,654.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.