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Finding the Third Proportional to 32,317,575.75 and 69,114,124.13

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Solution

The third proportional to 32,317,575.75 and 69,114,124.13 is: 147,806,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,317,575.75 : 69,114,124.13 = 69,114,124.13 : x
  2. Step 2: Convert to fraction form
    32,317,575.75/69,114,124.13 = 69,114,124.13/x
  3. Step 3: Cross multiply
    32,317,575.75x = 69,114,124.13 × 69,114,124.13
  4. Step 4: Simplify right side
    32,317,575.75x = 4,776,762,153,565,907
  5. Step 5: Solve for x
    x = 4,776,762,153,565,907/32,317,575.75
  6. Step 6: Final answer
    x = 147,806,945.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.