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Finding the Third Proportional to 76,561,023 and 168,002,394

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Solution

The third proportional to 76,561,023 and 168,002,394 is: 368,657,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,561,023 : 168,002,394 = 168,002,394 : x
  2. Step 2: Convert to fraction form
    76,561,023/168,002,394 = 168,002,394/x
  3. Step 3: Cross multiply
    76,561,023x = 168,002,394 × 168,002,394
  4. Step 4: Simplify right side
    76,561,023x = 28,224,804,389,731,236
  5. Step 5: Solve for x
    x = 28,224,804,389,731,236/76,561,023
  6. Step 6: Final answer
    x = 368,657,618.25

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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.