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Finding the Third Proportional to 1,125,103,934 and 2,423,013,948

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Solution

The third proportional to 1,125,103,934 and 2,423,013,948 is: 5,218,181,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,103,934 : 2,423,013,948 = 2,423,013,948 : x
  2. Step 2: Convert to fraction form
    1,125,103,934/2,423,013,948 = 2,423,013,948/x
  3. Step 3: Cross multiply
    1,125,103,934x = 2,423,013,948 × 2,423,013,948
  4. Step 4: Simplify right side
    1,125,103,934x = 5,870,996,592,202,547,200
  5. Step 5: Solve for x
    x = 5,870,996,592,202,547,200/1,125,103,934
  6. Step 6: Final answer
    x = 5,218,181,551.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.