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Finding the Third Proportional to 32,049,820 and 65,232,300

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Solution

The third proportional to 32,049,820 and 65,232,300 is: 132,769,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049,820 : 65,232,300 = 65,232,300 : x
  2. Step 2: Convert to fraction form
    32,049,820/65,232,300 = 65,232,300/x
  3. Step 3: Cross multiply
    32,049,820x = 65,232,300 × 65,232,300
  4. Step 4: Simplify right side
    32,049,820x = 4,255,252,963,290,000
  5. Step 5: Solve for x
    x = 4,255,252,963,290,000/32,049,820
  6. Step 6: Final answer
    x = 132,769,948.89

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.