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Finding the Third Proportional to 42,793,534 and 83,442,832

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Solution

The third proportional to 42,793,534 and 83,442,832 is: 162,704,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,793,534 : 83,442,832 = 83,442,832 : x
  2. Step 2: Convert to fraction form
    42,793,534/83,442,832 = 83,442,832/x
  3. Step 3: Cross multiply
    42,793,534x = 83,442,832 × 83,442,832
  4. Step 4: Simplify right side
    42,793,534x = 6,962,706,212,180,224
  5. Step 5: Solve for x
    x = 6,962,706,212,180,224/42,793,534
  6. Step 6: Final answer
    x = 162,704,632.25

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.