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Finding the Third Proportional to 1,948,740,446 and 4,547,218,181

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Solution

The third proportional to 1,948,740,446 and 4,547,218,181 is: 10,610,542,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,740,446 : 4,547,218,181 = 4,547,218,181 : x
  2. Step 2: Convert to fraction form
    1,948,740,446/4,547,218,181 = 4,547,218,181/x
  3. Step 3: Cross multiply
    1,948,740,446x = 4,547,218,181 × 4,547,218,181
  4. Step 4: Simplify right side
    1,948,740,446x = 20,677,193,185,616,949,248
  5. Step 5: Solve for x
    x = 20,677,193,185,616,949,248/1,948,740,446
  6. Step 6: Final answer
    x = 10,610,542,429.12

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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.