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Finding the Third Proportional to 491,592,970 and 1,053,304,911

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Solution

The third proportional to 491,592,970 and 1,053,304,911 is: 2,256,849,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,592,970 : 1,053,304,911 = 1,053,304,911 : x
  2. Step 2: Convert to fraction form
    491,592,970/1,053,304,911 = 1,053,304,911/x
  3. Step 3: Cross multiply
    491,592,970x = 1,053,304,911 × 1,053,304,911
  4. Step 4: Simplify right side
    491,592,970x = 1,109,451,235,536,717,952
  5. Step 5: Solve for x
    x = 1,109,451,235,536,717,952/491,592,970
  6. Step 6: Final answer
    x = 2,256,849,270.11

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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.