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Finding the Third Proportional to 72,726,984 and 161,597,376

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Solution

The third proportional to 72,726,984 and 161,597,376 is: 359,064,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,726,984 : 161,597,376 = 161,597,376 : x
  2. Step 2: Convert to fraction form
    72,726,984/161,597,376 = 161,597,376/x
  3. Step 3: Cross multiply
    72,726,984x = 161,597,376 × 161,597,376
  4. Step 4: Simplify right side
    72,726,984x = 26,113,711,930,085,376
  5. Step 5: Solve for x
    x = 26,113,711,930,085,376/72,726,984
  6. Step 6: Final answer
    x = 359,064,964.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.