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Finding the Third Proportional to 32,371,701.75 and 67,736,192.25

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Solution

The third proportional to 32,371,701.75 and 67,736,192.25 is: 141,734,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,371,701.75 : 67,736,192.25 = 67,736,192.25 : x
  2. Step 2: Convert to fraction form
    32,371,701.75/67,736,192.25 = 67,736,192.25/x
  3. Step 3: Cross multiply
    32,371,701.75x = 67,736,192.25 × 67,736,192.25
  4. Step 4: Simplify right side
    32,371,701.75x = 4,588,191,740,528,960
  5. Step 5: Solve for x
    x = 4,588,191,740,528,960/32,371,701.75
  6. Step 6: Final answer
    x = 141,734,647.62

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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.