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Finding the Third Proportional to 45,376,020 and 99,568,584

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Solution

The third proportional to 45,376,020 and 99,568,584 is: 218,483,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,376,020 : 99,568,584 = 99,568,584 : x
  2. Step 2: Convert to fraction form
    45,376,020/99,568,584 = 99,568,584/x
  3. Step 3: Cross multiply
    45,376,020x = 99,568,584 × 99,568,584
  4. Step 4: Simplify right side
    45,376,020x = 9,913,902,919,765,056
  5. Step 5: Solve for x
    x = 9,913,902,919,765,056/45,376,020
  6. Step 6: Final answer
    x = 218,483,307.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.