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Finding the Third Proportional to 12,178,307.25 and 26,500,487.77

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Solution

The third proportional to 12,178,307.25 and 26,500,487.77 is: 57,666,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178,307.25 : 26,500,487.77 = 26,500,487.77 : x
  2. Step 2: Convert to fraction form
    12,178,307.25/26,500,487.77 = 26,500,487.77/x
  3. Step 3: Cross multiply
    12,178,307.25x = 26,500,487.77 × 26,500,487.77
  4. Step 4: Simplify right side
    12,178,307.25x = 702,275,851,816,040.25
  5. Step 5: Solve for x
    x = 702,275,851,816,040.25/12,178,307.25
  6. Step 6: Final answer
    x = 57,666,130.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.