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Finding the Third Proportional to 32,987,946 and 68,238,708

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Solution

The third proportional to 32,987,946 and 68,238,708 is: 141,158,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,987,946 : 68,238,708 = 68,238,708 : x
  2. Step 2: Convert to fraction form
    32,987,946/68,238,708 = 68,238,708/x
  3. Step 3: Cross multiply
    32,987,946x = 68,238,708 × 68,238,708
  4. Step 4: Simplify right side
    32,987,946x = 4,656,521,269,509,264
  5. Step 5: Solve for x
    x = 4,656,521,269,509,264/32,987,946
  6. Step 6: Final answer
    x = 141,158,266.40

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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.