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Finding the Third Proportional to 42,791,942 and 65,006,216

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Solution

The third proportional to 42,791,942 and 65,006,216 is: 98,752,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,791,942 : 65,006,216 = 65,006,216 : x
  2. Step 2: Convert to fraction form
    42,791,942/65,006,216 = 65,006,216/x
  3. Step 3: Cross multiply
    42,791,942x = 65,006,216 × 65,006,216
  4. Step 4: Simplify right side
    42,791,942x = 4,225,808,118,638,656
  5. Step 5: Solve for x
    x = 4,225,808,118,638,656/42,791,942
  6. Step 6: Final answer
    x = 98,752,426.77

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