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Finding the Third Proportional to 965,780,551.05 and 2,092,005,641.39

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Solution

The third proportional to 965,780,551.05 and 2,092,005,641.39 is: 4,531,554,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,780,551.05 : 2,092,005,641.39 = 2,092,005,641.39 : x
  2. Step 2: Convert to fraction form
    965,780,551.05/2,092,005,641.39 = 2,092,005,641.39/x
  3. Step 3: Cross multiply
    965,780,551.05x = 2,092,005,641.39 × 2,092,005,641.39
  4. Step 4: Simplify right side
    965,780,551.05x = 4,376,487,603,610,514,432
  5. Step 5: Solve for x
    x = 4,376,487,603,610,514,432/965,780,551.05
  6. Step 6: Final answer
    x = 4,531,554,915.69

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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.