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Finding the Third Proportional to 47,764,011 and 103,637,418

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Solution

The third proportional to 47,764,011 and 103,637,418 is: 224,870,445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764,011 : 103,637,418 = 103,637,418 : x
  2. Step 2: Convert to fraction form
    47,764,011/103,637,418 = 103,637,418/x
  3. Step 3: Cross multiply
    47,764,011x = 103,637,418 × 103,637,418
  4. Step 4: Simplify right side
    47,764,011x = 10,740,714,409,706,724
  5. Step 5: Solve for x
    x = 10,740,714,409,706,724/47,764,011
  6. Step 6: Final answer
    x = 224,870,445.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.