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Finding the Third Proportional to 48,685,656 and 75,820,188

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Solution

The third proportional to 48,685,656 and 75,820,188 is: 118,077,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,685,656 : 75,820,188 = 75,820,188 : x
  2. Step 2: Convert to fraction form
    48,685,656/75,820,188 = 75,820,188/x
  3. Step 3: Cross multiply
    48,685,656x = 75,820,188 × 75,820,188
  4. Step 4: Simplify right side
    48,685,656x = 5,748,700,908,355,344
  5. Step 5: Solve for x
    x = 5,748,700,908,355,344/48,685,656
  6. Step 6: Final answer
    x = 118,077,918.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.