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Finding the Third Proportional to 814,762,020 and 1,667,175,420

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Solution

The third proportional to 814,762,020 and 1,667,175,420 is: 3,411,393,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,762,020 : 1,667,175,420 = 1,667,175,420 : x
  2. Step 2: Convert to fraction form
    814,762,020/1,667,175,420 = 1,667,175,420/x
  3. Step 3: Cross multiply
    814,762,020x = 1,667,175,420 × 1,667,175,420
  4. Step 4: Simplify right side
    814,762,020x = 2,779,473,881,052,176,384
  5. Step 5: Solve for x
    x = 2,779,473,881,052,176,384/814,762,020
  6. Step 6: Final answer
    x = 3,411,393,526.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.