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Finding the Third Proportional to 45,971,255 and 100,013,719

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Solution

The third proportional to 45,971,255 and 100,013,719 is: 217,586,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,971,255 : 100,013,719 = 100,013,719 : x
  2. Step 2: Convert to fraction form
    45,971,255/100,013,719 = 100,013,719/x
  3. Step 3: Cross multiply
    45,971,255x = 100,013,719 × 100,013,719
  4. Step 4: Simplify right side
    45,971,255x = 10,002,743,988,210,960
  5. Step 5: Solve for x
    x = 10,002,743,988,210,960/45,971,255
  6. Step 6: Final answer
    x = 217,586,924.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.