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Finding the Third Proportional to 824,614,564 and 1,767,270,248

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Solution

The third proportional to 824,614,564 and 1,767,270,248 is: 3,787,519,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,614,564 : 1,767,270,248 = 1,767,270,248 : x
  2. Step 2: Convert to fraction form
    824,614,564/1,767,270,248 = 1,767,270,248/x
  3. Step 3: Cross multiply
    824,614,564x = 1,767,270,248 × 1,767,270,248
  4. Step 4: Simplify right side
    824,614,564x = 3,123,244,129,465,981,440
  5. Step 5: Solve for x
    x = 3,123,244,129,465,981,440/824,614,564
  6. Step 6: Final answer
    x = 3,787,519,970.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.