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Finding the Third Proportional to 207,318,724 and 479,955,946

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Solution

The third proportional to 207,318,724 and 479,955,946 is: 1,111,128,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,318,724 : 479,955,946 = 479,955,946 : x
  2. Step 2: Convert to fraction form
    207,318,724/479,955,946 = 479,955,946/x
  3. Step 3: Cross multiply
    207,318,724x = 479,955,946 × 479,955,946
  4. Step 4: Simplify right side
    207,318,724x = 230,357,710,100,754,912
  5. Step 5: Solve for x
    x = 230,357,710,100,754,912/207,318,724
  6. Step 6: Final answer
    x = 1,111,128,342.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.