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Finding the Third Proportional to 32,477,208 and 67,256,506

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Solution

The third proportional to 32,477,208 and 67,256,506 is: 139,280,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477,208 : 67,256,506 = 67,256,506 : x
  2. Step 2: Convert to fraction form
    32,477,208/67,256,506 = 67,256,506/x
  3. Step 3: Cross multiply
    32,477,208x = 67,256,506 × 67,256,506
  4. Step 4: Simplify right side
    32,477,208x = 4,523,437,599,328,036
  5. Step 5: Solve for x
    x = 4,523,437,599,328,036/32,477,208
  6. Step 6: Final answer
    x = 139,280,371.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.