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Finding the Third Proportional to 53,475,221 and 112,695,624

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Solution

The third proportional to 53,475,221 and 112,695,624 is: 237,498,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,475,221 : 112,695,624 = 112,695,624 : x
  2. Step 2: Convert to fraction form
    53,475,221/112,695,624 = 112,695,624/x
  3. Step 3: Cross multiply
    53,475,221x = 112,695,624 × 112,695,624
  4. Step 4: Simplify right side
    53,475,221x = 12,700,303,668,749,376
  5. Step 5: Solve for x
    x = 12,700,303,668,749,376/53,475,221
  6. Step 6: Final answer
    x = 237,498,853.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.