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Finding the Third Proportional to 34,032,006 and 74,676,420

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Solution

The third proportional to 34,032,006 and 74,676,420 is: 163,862,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032,006 : 74,676,420 = 74,676,420 : x
  2. Step 2: Convert to fraction form
    34,032,006/74,676,420 = 74,676,420/x
  3. Step 3: Cross multiply
    34,032,006x = 74,676,420 × 74,676,420
  4. Step 4: Simplify right side
    34,032,006x = 5,576,567,704,016,400
  5. Step 5: Solve for x
    x = 5,576,567,704,016,400/34,032,006
  6. Step 6: Final answer
    x = 163,862,444.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.