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Finding the Third Proportional to 32,299,435.13 and 70,876,468.13

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Solution

The third proportional to 32,299,435.13 and 70,876,468.13 is: 155,528,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,299,435.13 : 70,876,468.13 = 70,876,468.13 : x
  2. Step 2: Convert to fraction form
    32,299,435.13/70,876,468.13 = 70,876,468.13/x
  3. Step 3: Cross multiply
    32,299,435.13x = 70,876,468.13 × 70,876,468.13
  4. Step 4: Simplify right side
    32,299,435.13x = 5,023,473,733,874,141
  5. Step 5: Solve for x
    x = 5,023,473,733,874,141/32,299,435.13
  6. Step 6: Final answer
    x = 155,528,222.53

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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.