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Finding the Third Proportional to 12,830,528 and 16,959,648

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Solution

The third proportional to 12,830,528 and 16,959,648 is: 22,417,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830,528 : 16,959,648 = 16,959,648 : x
  2. Step 2: Convert to fraction form
    12,830,528/16,959,648 = 16,959,648/x
  3. Step 3: Cross multiply
    12,830,528x = 16,959,648 × 16,959,648
  4. Step 4: Simplify right side
    12,830,528x = 287,629,660,283,904
  5. Step 5: Solve for x
    x = 287,629,660,283,904/12,830,528
  6. Step 6: Final answer
    x = 22,417,601.23

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.