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Finding the Third Proportional to 31,539,438 and 46,111,774.50

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Solution

The third proportional to 31,539,438 and 46,111,774.50 is: 67,417,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,539,438 : 46,111,774.50 = 46,111,774.50 : x
  2. Step 2: Convert to fraction form
    31,539,438/46,111,774.50 = 46,111,774.50/x
  3. Step 3: Cross multiply
    31,539,438x = 46,111,774.50 × 46,111,774.50
  4. Step 4: Simplify right side
    31,539,438x = 2,126,295,747,538,850.25
  5. Step 5: Solve for x
    x = 2,126,295,747,538,850.25/31,539,438
  6. Step 6: Final answer
    x = 67,417,046.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.