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Finding the Third Proportional to 47,751,416 and 102,316,066

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Solution

The third proportional to 47,751,416 and 102,316,066 is: 219,230,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751,416 : 102,316,066 = 102,316,066 : x
  2. Step 2: Convert to fraction form
    47,751,416/102,316,066 = 102,316,066/x
  3. Step 3: Cross multiply
    47,751,416x = 102,316,066 × 102,316,066
  4. Step 4: Simplify right side
    47,751,416x = 10,468,577,361,716,356
  5. Step 5: Solve for x
    x = 10,468,577,361,716,356/47,751,416
  6. Step 6: Final answer
    x = 219,230,721.07

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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.