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Finding the Third Proportional to 34,624,084 and 54,032,352

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Solution

The third proportional to 34,624,084 and 54,032,352 is: 84,319,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,624,084 : 54,032,352 = 54,032,352 : x
  2. Step 2: Convert to fraction form
    34,624,084/54,032,352 = 54,032,352/x
  3. Step 3: Cross multiply
    34,624,084x = 54,032,352 × 54,032,352
  4. Step 4: Simplify right side
    34,624,084x = 2,919,495,062,651,904
  5. Step 5: Solve for x
    x = 2,919,495,062,651,904/34,624,084
  6. Step 6: Final answer
    x = 84,319,777.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.