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Finding the Third Proportional to 347,211,650 and 472,843,011

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Solution

The third proportional to 347,211,650 and 472,843,011 is: 643,931,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,211,650 : 472,843,011 = 472,843,011 : x
  2. Step 2: Convert to fraction form
    347,211,650/472,843,011 = 472,843,011/x
  3. Step 3: Cross multiply
    347,211,650x = 472,843,011 × 472,843,011
  4. Step 4: Simplify right side
    347,211,650x = 223,580,513,051,546,112
  5. Step 5: Solve for x
    x = 223,580,513,051,546,112/347,211,650
  6. Step 6: Final answer
    x = 643,931,484.01

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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.