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Finding the Third Proportional to 555,382,024 and 1,156,732,624

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Solution

The third proportional to 555,382,024 and 1,156,732,624 is: 2,409,207,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,382,024 : 1,156,732,624 = 1,156,732,624 : x
  2. Step 2: Convert to fraction form
    555,382,024/1,156,732,624 = 1,156,732,624/x
  3. Step 3: Cross multiply
    555,382,024x = 1,156,732,624 × 1,156,732,624
  4. Step 4: Simplify right side
    555,382,024x = 1,338,030,363,425,925,376
  5. Step 5: Solve for x
    x = 1,338,030,363,425,925,376/555,382,024
  6. Step 6: Final answer
    x = 2,409,207,186.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.