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Finding the Third Proportional to 6,671,916 and 14,642,952

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Solution

The third proportional to 6,671,916 and 14,642,952 is: 32,137,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671,916 : 14,642,952 = 14,642,952 : x
  2. Step 2: Convert to fraction form
    6,671,916/14,642,952 = 14,642,952/x
  3. Step 3: Cross multiply
    6,671,916x = 14,642,952 × 14,642,952
  4. Step 4: Simplify right side
    6,671,916x = 214,416,043,274,304
  5. Step 5: Solve for x
    x = 214,416,043,274,304/6,671,916
  6. Step 6: Final answer
    x = 32,137,101.74

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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.