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Finding the Third Proportional to 32,371,705.69 and 67,736,197.69

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Solution

The third proportional to 32,371,705.69 and 67,736,197.69 is: 141,734,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,371,705.69 : 67,736,197.69 = 67,736,197.69 : x
  2. Step 2: Convert to fraction form
    32,371,705.69/67,736,197.69 = 67,736,197.69/x
  3. Step 3: Cross multiply
    32,371,705.69x = 67,736,197.69 × 67,736,197.69
  4. Step 4: Simplify right side
    32,371,705.69x = 4,588,192,477,160,080
  5. Step 5: Solve for x
    x = 4,588,192,477,160,080/32,371,705.69
  6. Step 6: Final answer
    x = 141,734,653.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.