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Finding the Third Proportional to 6,044,976 and 12,772,251

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Solution

The third proportional to 6,044,976 and 12,772,251 is: 26,986,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044,976 : 12,772,251 = 12,772,251 : x
  2. Step 2: Convert to fraction form
    6,044,976/12,772,251 = 12,772,251/x
  3. Step 3: Cross multiply
    6,044,976x = 12,772,251 × 12,772,251
  4. Step 4: Simplify right side
    6,044,976x = 163,130,395,607,001
  5. Step 5: Solve for x
    x = 163,130,395,607,001/6,044,976
  6. Step 6: Final answer
    x = 26,986,111.38

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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.