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Finding the Third Proportional to 38,646,228 and 83,345,442

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Solution

The third proportional to 38,646,228 and 83,345,442 is: 179,744,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646,228 : 83,345,442 = 83,345,442 : x
  2. Step 2: Convert to fraction form
    38,646,228/83,345,442 = 83,345,442/x
  3. Step 3: Cross multiply
    38,646,228x = 83,345,442 × 83,345,442
  4. Step 4: Simplify right side
    38,646,228x = 6,946,462,702,175,364
  5. Step 5: Solve for x
    x = 6,946,462,702,175,364/38,646,228
  6. Step 6: Final answer
    x = 179,744,908.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.