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Finding the Third Proportional to 207,345,664 and 447,897,780

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Solution

The third proportional to 207,345,664 and 447,897,780 is: 967,526,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,345,664 : 447,897,780 = 447,897,780 : x
  2. Step 2: Convert to fraction form
    207,345,664/447,897,780 = 447,897,780/x
  3. Step 3: Cross multiply
    207,345,664x = 447,897,780 × 447,897,780
  4. Step 4: Simplify right side
    207,345,664x = 200,612,421,328,928,384
  5. Step 5: Solve for x
    x = 200,612,421,328,928,384/207,345,664
  6. Step 6: Final answer
    x = 967,526,484.32

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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.