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Finding the Third Proportional to 48,217,232 and 72,774,241

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Solution

The third proportional to 48,217,232 and 72,774,241 is: 109,838,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,217,232 : 72,774,241 = 72,774,241 : x
  2. Step 2: Convert to fraction form
    48,217,232/72,774,241 = 72,774,241/x
  3. Step 3: Cross multiply
    48,217,232x = 72,774,241 × 72,774,241
  4. Step 4: Simplify right side
    48,217,232x = 5,296,090,153,126,081
  5. Step 5: Solve for x
    x = 5,296,090,153,126,081/48,217,232
  6. Step 6: Final answer
    x = 109,838,120.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.