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Finding the Third Proportional to 1,948,740,541 and 4,547,218,397

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Solution

The third proportional to 1,948,740,541 and 4,547,218,397 is: 10,610,542,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,740,541 : 4,547,218,397 = 4,547,218,397 : x
  2. Step 2: Convert to fraction form
    1,948,740,541/4,547,218,397 = 4,547,218,397/x
  3. Step 3: Cross multiply
    1,948,740,541x = 4,547,218,397 × 4,547,218,397
  4. Step 4: Simplify right side
    1,948,740,541x = 20,677,195,150,015,250,432
  5. Step 5: Solve for x
    x = 20,677,195,150,015,250,432/1,948,740,541
  6. Step 6: Final answer
    x = 10,610,542,919.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.