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Finding the Third Proportional to 347,211,648 and 472,843,008

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Solution

The third proportional to 347,211,648 and 472,843,008 is: 643,931,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,211,648 : 472,843,008 = 472,843,008 : x
  2. Step 2: Convert to fraction form
    347,211,648/472,843,008 = 472,843,008/x
  3. Step 3: Cross multiply
    347,211,648x = 472,843,008 × 472,843,008
  4. Step 4: Simplify right side
    347,211,648x = 223,580,510,214,488,064
  5. Step 5: Solve for x
    x = 223,580,510,214,488,064/347,211,648
  6. Step 6: Final answer
    x = 643,931,479.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.