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Finding the Third Proportional to 47,933,294 and 104,834,332

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Solution

The third proportional to 47,933,294 and 104,834,332 is: 229,281,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,933,294 : 104,834,332 = 104,834,332 : x
  2. Step 2: Convert to fraction form
    47,933,294/104,834,332 = 104,834,332/x
  3. Step 3: Cross multiply
    47,933,294x = 104,834,332 × 104,834,332
  4. Step 4: Simplify right side
    47,933,294x = 10,990,237,165,886,224
  5. Step 5: Solve for x
    x = 10,990,237,165,886,224/47,933,294
  6. Step 6: Final answer
    x = 229,281,909.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.