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Finding the Third Proportional to 74,602,971 and 160,543,359

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Solution

The third proportional to 74,602,971 and 160,543,359 is: 345,484,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,602,971 : 160,543,359 = 160,543,359 : x
  2. Step 2: Convert to fraction form
    74,602,971/160,543,359 = 160,543,359/x
  3. Step 3: Cross multiply
    74,602,971x = 160,543,359 × 160,543,359
  4. Step 4: Simplify right side
    74,602,971x = 25,774,170,119,002,880
  5. Step 5: Solve for x
    x = 25,774,170,119,002,880/74,602,971
  6. Step 6: Final answer
    x = 345,484,499.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.