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Finding the Third Proportional to 34,300,182,068 and 74,298,671,404

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Solution

The third proportional to 34,300,182,068 and 74,298,671,404 is: 160,940,620,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,300,182,068 : 74,298,671,404 = 74,298,671,404 : x
  2. Step 2: Convert to fraction form
    34,300,182,068/74,298,671,404 = 74,298,671,404/x
  3. Step 3: Cross multiply
    34,300,182,068x = 74,298,671,404 × 74,298,671,404
  4. Step 4: Simplify right side
    34,300,182,068x = 5,520,292,572,399,567,634,432
  5. Step 5: Solve for x
    x = 5,520,292,572,399,567,634,432/34,300,182,068
  6. Step 6: Final answer
    x = 160,940,620,124.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.