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Finding the Third Proportional to 57,877,965 and 89,577,913.50

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Solution

The third proportional to 57,877,965 and 89,577,913.50 is: 138,640,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877,965 : 89,577,913.50 = 89,577,913.50 : x
  2. Step 2: Convert to fraction form
    57,877,965/89,577,913.50 = 89,577,913.50/x
  3. Step 3: Cross multiply
    57,877,965x = 89,577,913.50 × 89,577,913.50
  4. Step 4: Simplify right side
    57,877,965x = 8,024,202,587,013,482
  5. Step 5: Solve for x
    x = 8,024,202,587,013,482/57,877,965
  6. Step 6: Final answer
    x = 138,640,026.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.