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Finding the Third Proportional to 1,047,670,578 and 2,281,345,508

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Solution

The third proportional to 1,047,670,578 and 2,281,345,508 is: 4,967,723,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,670,578 : 2,281,345,508 = 2,281,345,508 : x
  2. Step 2: Convert to fraction form
    1,047,670,578/2,281,345,508 = 2,281,345,508/x
  3. Step 3: Cross multiply
    1,047,670,578x = 2,281,345,508 × 2,281,345,508
  4. Step 4: Simplify right side
    1,047,670,578x = 5,204,537,326,871,778,304
  5. Step 5: Solve for x
    x = 5,204,537,326,871,778,304/1,047,670,578
  6. Step 6: Final answer
    x = 4,967,723,095.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.