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Finding the Third Proportional to 644,925,114 and 1,316,919,753

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Solution

The third proportional to 644,925,114 and 1,316,919,753 is: 2,689,114,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,925,114 : 1,316,919,753 = 1,316,919,753 : x
  2. Step 2: Convert to fraction form
    644,925,114/1,316,919,753 = 1,316,919,753/x
  3. Step 3: Cross multiply
    644,925,114x = 1,316,919,753 × 1,316,919,753
  4. Step 4: Simplify right side
    644,925,114x = 1,734,277,635,841,581,056
  5. Step 5: Solve for x
    x = 1,734,277,635,841,581,056/644,925,114
  6. Step 6: Final answer
    x = 2,689,114,748.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.