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Finding the Third Proportional to 5,891,087,664 and 9,147,036,672

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Solution

The third proportional to 5,891,087,664 and 9,147,036,672 is: 14,202,518,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891,087,664 : 9,147,036,672 = 9,147,036,672 : x
  2. Step 2: Convert to fraction form
    5,891,087,664/9,147,036,672 = 9,147,036,672/x
  3. Step 3: Cross multiply
    5,891,087,664x = 9,147,036,672 × 9,147,036,672
  4. Step 4: Simplify right side
    5,891,087,664x = 83,668,279,878,912,835,584
  5. Step 5: Solve for x
    x = 83,668,279,878,912,835,584/5,891,087,664
  6. Step 6: Final answer
    x = 14,202,518,219.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.