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Finding the Third Proportional to 31,900,646.25 and 69,977,326.50

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Solution

The third proportional to 31,900,646.25 and 69,977,326.50 is: 153,502,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900,646.25 : 69,977,326.50 = 69,977,326.50 : x
  2. Step 2: Convert to fraction form
    31,900,646.25/69,977,326.50 = 69,977,326.50/x
  3. Step 3: Cross multiply
    31,900,646.25x = 69,977,326.50 × 69,977,326.50
  4. Step 4: Simplify right side
    31,900,646.25x = 4,896,826,224,087,602
  5. Step 5: Solve for x
    x = 4,896,826,224,087,602/31,900,646.25
  6. Step 6: Final answer
    x = 153,502,414.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.