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Finding the Third Proportional to 2,281,794,684 and 5,001,024,360

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Solution

The third proportional to 2,281,794,684 and 5,001,024,360 is: 10,960,777,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,794,684 : 5,001,024,360 = 5,001,024,360 : x
  2. Step 2: Convert to fraction form
    2,281,794,684/5,001,024,360 = 5,001,024,360/x
  3. Step 3: Cross multiply
    2,281,794,684x = 5,001,024,360 × 5,001,024,360
  4. Step 4: Simplify right side
    2,281,794,684x = 25,010,244,649,313,411,072
  5. Step 5: Solve for x
    x = 25,010,244,649,313,411,072/2,281,794,684
  6. Step 6: Final answer
    x = 10,960,777,858.19

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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.