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Finding the Third Proportional to 827,051,916.75 and 1,280,458,387.13

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Solution

The third proportional to 827,051,916.75 and 1,280,458,387.13 is: 1,982,431,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,051,916.75 : 1,280,458,387.13 = 1,280,458,387.13 : x
  2. Step 2: Convert to fraction form
    827,051,916.75/1,280,458,387.13 = 1,280,458,387.13/x
  3. Step 3: Cross multiply
    827,051,916.75x = 1,280,458,387.13 × 1,280,458,387.13
  4. Step 4: Simplify right side
    827,051,916.75x = 1,639,573,681,158,756,352
  5. Step 5: Solve for x
    x = 1,639,573,681,158,756,352/827,051,916.75
  6. Step 6: Final answer
    x = 1,982,431,390.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.