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Finding the Third Proportional to 31,457,281.50 and 42,500,679.75

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Solution

The third proportional to 31,457,281.50 and 42,500,679.75 is: 57,420,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457,281.50 : 42,500,679.75 = 42,500,679.75 : x
  2. Step 2: Convert to fraction form
    31,457,281.50/42,500,679.75 = 42,500,679.75/x
  3. Step 3: Cross multiply
    31,457,281.50x = 42,500,679.75 × 42,500,679.75
  4. Step 4: Simplify right side
    31,457,281.50x = 1,806,307,779,212,060
  5. Step 5: Solve for x
    x = 1,806,307,779,212,060/31,457,281.50
  6. Step 6: Final answer
    x = 57,420,975.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.