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Finding the Third Proportional to 32,020,853.63 and 68,904,865.13

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Solution

The third proportional to 32,020,853.63 and 68,904,865.13 is: 148,274,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020,853.63 : 68,904,865.13 = 68,904,865.13 : x
  2. Step 2: Convert to fraction form
    32,020,853.63/68,904,865.13 = 68,904,865.13/x
  3. Step 3: Cross multiply
    32,020,853.63x = 68,904,865.13 × 68,904,865.13
  4. Step 4: Simplify right side
    32,020,853.63x = 4,747,880,437,894,441
  5. Step 5: Solve for x
    x = 4,747,880,437,894,441/32,020,853.63
  6. Step 6: Final answer
    x = 148,274,636.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.