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Finding the Third Proportional to 32,361,477.75 and 69,525,526.50

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Solution

The third proportional to 32,361,477.75 and 69,525,526.50 is: 149,368,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,361,477.75 : 69,525,526.50 = 69,525,526.50 : x
  2. Step 2: Convert to fraction form
    32,361,477.75/69,525,526.50 = 69,525,526.50/x
  3. Step 3: Cross multiply
    32,361,477.75x = 69,525,526.50 × 69,525,526.50
  4. Step 4: Simplify right side
    32,361,477.75x = 4,833,798,835,102,202
  5. Step 5: Solve for x
    x = 4,833,798,835,102,202/32,361,477.75
  6. Step 6: Final answer
    x = 149,368,915.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.