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Finding the Third Proportional to 996,732,082 and 1,547,338,344

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Solution

The third proportional to 996,732,082 and 1,547,338,344 is: 2,402,105,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,732,082 : 1,547,338,344 = 1,547,338,344 : x
  2. Step 2: Convert to fraction form
    996,732,082/1,547,338,344 = 1,547,338,344/x
  3. Step 3: Cross multiply
    996,732,082x = 1,547,338,344 × 1,547,338,344
  4. Step 4: Simplify right side
    996,732,082x = 2,394,255,950,812,662,272
  5. Step 5: Solve for x
    x = 2,394,255,950,812,662,272/996,732,082
  6. Step 6: Final answer
    x = 2,402,105,835.71

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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.