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Finding the Third Proportional to 32,036,548 and 66,344,216

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Solution

The third proportional to 32,036,548 and 66,344,216 is: 137,391,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,036,548 : 66,344,216 = 66,344,216 : x
  2. Step 2: Convert to fraction form
    32,036,548/66,344,216 = 66,344,216/x
  3. Step 3: Cross multiply
    32,036,548x = 66,344,216 × 66,344,216
  4. Step 4: Simplify right side
    32,036,548x = 4,401,554,996,654,656
  5. Step 5: Solve for x
    x = 4,401,554,996,654,656/32,036,548
  6. Step 6: Final answer
    x = 137,391,675.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.