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Finding the Third Proportional to 34,352,352 and 74,085,120

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Solution

The third proportional to 34,352,352 and 74,085,120 is: 159,773,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,352,352 : 74,085,120 = 74,085,120 : x
  2. Step 2: Convert to fraction form
    34,352,352/74,085,120 = 74,085,120/x
  3. Step 3: Cross multiply
    34,352,352x = 74,085,120 × 74,085,120
  4. Step 4: Simplify right side
    34,352,352x = 5,488,605,005,414,400
  5. Step 5: Solve for x
    x = 5,488,605,005,414,400/34,352,352
  6. Step 6: Final answer
    x = 159,773,776.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.