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Finding the Third Proportional to 32,957,752.78 and 69,652,192.22

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Solution

The third proportional to 32,957,752.78 and 69,652,192.22 is: 147,201,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,957,752.78 : 69,652,192.22 = 69,652,192.22 : x
  2. Step 2: Convert to fraction form
    32,957,752.78/69,652,192.22 = 69,652,192.22/x
  3. Step 3: Cross multiply
    32,957,752.78x = 69,652,192.22 × 69,652,192.22
  4. Step 4: Simplify right side
    32,957,752.78x = 4,851,427,880,877,698
  5. Step 5: Solve for x
    x = 4,851,427,880,877,698/32,957,752.78
  6. Step 6: Final answer
    x = 147,201,416.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.