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Finding the Third Proportional to 472,356,515 and 1,030,673,074

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Solution

The third proportional to 472,356,515 and 1,030,673,074 is: 2,248,909,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,356,515 : 1,030,673,074 = 1,030,673,074 : x
  2. Step 2: Convert to fraction form
    472,356,515/1,030,673,074 = 1,030,673,074/x
  3. Step 3: Cross multiply
    472,356,515x = 1,030,673,074 × 1,030,673,074
  4. Step 4: Simplify right side
    472,356,515x = 1,062,286,985,468,609,536
  5. Step 5: Solve for x
    x = 1,062,286,985,468,609,536/472,356,515
  6. Step 6: Final answer
    x = 2,248,909,354.98

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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.