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Finding the Third Proportional to 582,470,778 and 1,247,846,352

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Solution

The third proportional to 582,470,778 and 1,247,846,352 is: 2,673,302,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,470,778 : 1,247,846,352 = 1,247,846,352 : x
  2. Step 2: Convert to fraction form
    582,470,778/1,247,846,352 = 1,247,846,352/x
  3. Step 3: Cross multiply
    582,470,778x = 1,247,846,352 × 1,247,846,352
  4. Step 4: Simplify right side
    582,470,778x = 1,557,120,518,199,707,904
  5. Step 5: Solve for x
    x = 1,557,120,518,199,707,904/582,470,778
  6. Step 6: Final answer
    x = 2,673,302,381.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.