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Finding the Third Proportional to 48,683,526.75 and 75,623,442

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Solution

The third proportional to 48,683,526.75 and 75,623,442 is: 117,471,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,683,526.75 : 75,623,442 = 75,623,442 : x
  2. Step 2: Convert to fraction form
    48,683,526.75/75,623,442 = 75,623,442/x
  3. Step 3: Cross multiply
    48,683,526.75x = 75,623,442 × 75,623,442
  4. Step 4: Simplify right side
    48,683,526.75x = 5,718,904,979,927,364
  5. Step 5: Solve for x
    x = 5,718,904,979,927,364/48,683,526.75
  6. Step 6: Final answer
    x = 117,471,049.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.