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Finding the Third Proportional to 281,266,964 and 616,991,872

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Solution

The third proportional to 281,266,964 and 616,991,872 is: 1,353,443,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,266,964 : 616,991,872 = 616,991,872 : x
  2. Step 2: Convert to fraction form
    281,266,964/616,991,872 = 616,991,872/x
  3. Step 3: Cross multiply
    281,266,964x = 616,991,872 × 616,991,872
  4. Step 4: Simplify right side
    281,266,964x = 380,678,970,114,064,384
  5. Step 5: Solve for x
    x = 380,678,970,114,064,384/281,266,964
  6. Step 6: Final answer
    x = 1,353,443,592.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.