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Finding the Third Proportional to 6,638,210 and 14,561,540

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Solution

The third proportional to 6,638,210 and 14,561,540 is: 31,942,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638,210 : 14,561,540 = 14,561,540 : x
  2. Step 2: Convert to fraction form
    6,638,210/14,561,540 = 14,561,540/x
  3. Step 3: Cross multiply
    6,638,210x = 14,561,540 × 14,561,540
  4. Step 4: Simplify right side
    6,638,210x = 212,038,447,171,600
  5. Step 5: Solve for x
    x = 212,038,447,171,600/6,638,210
  6. Step 6: Final answer
    x = 31,942,111.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.