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Finding the Third Proportional to 34,348,828 and 74,078,342

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Solution

The third proportional to 34,348,828 and 74,078,342 is: 159,760,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,348,828 : 74,078,342 = 74,078,342 : x
  2. Step 2: Convert to fraction form
    34,348,828/74,078,342 = 74,078,342/x
  3. Step 3: Cross multiply
    34,348,828x = 74,078,342 × 74,078,342
  4. Step 4: Simplify right side
    34,348,828x = 5,487,600,753,468,964
  5. Step 5: Solve for x
    x = 5,487,600,753,468,964/34,348,828
  6. Step 6: Final answer
    x = 159,760,931.39

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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.