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Finding the Third Proportional to 965,789,652.38 and 2,092,024,762.88

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Solution

The third proportional to 965,789,652.38 and 2,092,024,762.88 is: 4,531,595,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,789,652.38 : 2,092,024,762.88 = 2,092,024,762.88 : x
  2. Step 2: Convert to fraction form
    965,789,652.38/2,092,024,762.88 = 2,092,024,762.88/x
  3. Step 3: Cross multiply
    965,789,652.38x = 2,092,024,762.88 × 2,092,024,762.88
  4. Step 4: Simplify right side
    965,789,652.38x = 4,376,567,608,482,200,064
  5. Step 5: Solve for x
    x = 4,376,567,608,482,200,064/965,789,652.38
  6. Step 6: Final answer
    x = 4,531,595,050.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.