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Finding the Third Proportional to 659,586,828 and 1,432,827,672

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Solution

The third proportional to 659,586,828 and 1,432,827,672 is: 3,112,547,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,586,828 : 1,432,827,672 = 1,432,827,672 : x
  2. Step 2: Convert to fraction form
    659,586,828/1,432,827,672 = 1,432,827,672/x
  3. Step 3: Cross multiply
    659,586,828x = 1,432,827,672 × 1,432,827,672
  4. Step 4: Simplify right side
    659,586,828x = 2,052,995,137,648,939,520
  5. Step 5: Solve for x
    x = 2,052,995,137,648,939,520/659,586,828
  6. Step 6: Final answer
    x = 3,112,547,204.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.