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Finding the Third Proportional to 42,659,901 and 64,438,170.75

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Solution

The third proportional to 42,659,901 and 64,438,170.75 is: 97,334,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,659,901 : 64,438,170.75 = 64,438,170.75 : x
  2. Step 2: Convert to fraction form
    42,659,901/64,438,170.75 = 64,438,170.75/x
  3. Step 3: Cross multiply
    42,659,901x = 64,438,170.75 × 64,438,170.75
  4. Step 4: Simplify right side
    42,659,901x = 4,152,277,849,606,155.50
  5. Step 5: Solve for x
    x = 4,152,277,849,606,155.50/42,659,901
  6. Step 6: Final answer
    x = 97,334,446.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.