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Finding the Third Proportional to 807,584,650 and 1,752,997,968

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Solution

The third proportional to 807,584,650 and 1,752,997,968 is: 3,805,176,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,584,650 : 1,752,997,968 = 1,752,997,968 : x
  2. Step 2: Convert to fraction form
    807,584,650/1,752,997,968 = 1,752,997,968/x
  3. Step 3: Cross multiply
    807,584,650x = 1,752,997,968 × 1,752,997,968
  4. Step 4: Simplify right side
    807,584,650x = 3,073,001,875,812,128,768
  5. Step 5: Solve for x
    x = 3,073,001,875,812,128,768/807,584,650
  6. Step 6: Final answer
    x = 3,805,176,182.85

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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.