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Finding the Third Proportional to 207,345,724 and 447,897,900

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Solution

The third proportional to 207,345,724 and 447,897,900 is: 967,526,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,345,724 : 447,897,900 = 447,897,900 : x
  2. Step 2: Convert to fraction form
    207,345,724/447,897,900 = 447,897,900/x
  3. Step 3: Cross multiply
    207,345,724x = 447,897,900 × 447,897,900
  4. Step 4: Simplify right side
    207,345,724x = 200,612,528,824,409,984
  5. Step 5: Solve for x
    x = 200,612,528,824,409,984/207,345,724
  6. Step 6: Final answer
    x = 967,526,722.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.