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Finding the Third Proportional to 1,948,740,518 and 4,547,218,361

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Solution

The third proportional to 1,948,740,518 and 4,547,218,361 is: 10,610,542,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,740,518 : 4,547,218,361 = 4,547,218,361 : x
  2. Step 2: Convert to fraction form
    1,948,740,518/4,547,218,361 = 4,547,218,361/x
  3. Step 3: Cross multiply
    1,948,740,518x = 4,547,218,361 × 4,547,218,361
  4. Step 4: Simplify right side
    1,948,740,518x = 20,677,194,822,615,527,424
  5. Step 5: Solve for x
    x = 20,677,194,822,615,527,424/1,948,740,518
  6. Step 6: Final answer
    x = 10,610,542,877.12

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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.