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Finding the Third Proportional to 314,327,022.19 and 661,234,331.81

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Solution

The third proportional to 314,327,022.19 and 661,234,331.81 is: 1,391,006,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,327,022.19 : 661,234,331.81 = 661,234,331.81 : x
  2. Step 2: Convert to fraction form
    314,327,022.19/661,234,331.81 = 661,234,331.81/x
  3. Step 3: Cross multiply
    314,327,022.19x = 661,234,331.81 × 661,234,331.81
  4. Step 4: Simplify right side
    314,327,022.19x = 437,230,841,567,523,328
  5. Step 5: Solve for x
    x = 437,230,841,567,523,328/314,327,022.19
  6. Step 6: Final answer
    x = 1,391,006,215.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.