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Finding the Third Proportional to 2,931,197 and 6,366,989

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Solution

The third proportional to 2,931,197 and 6,366,989 is: 13,830,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,197 : 6,366,989 = 6,366,989 : x
  2. Step 2: Convert to fraction form
    2,931,197/6,366,989 = 6,366,989/x
  3. Step 3: Cross multiply
    2,931,197x = 6,366,989 × 6,366,989
  4. Step 4: Simplify right side
    2,931,197x = 40,538,548,926,121
  5. Step 5: Solve for x
    x = 40,538,548,926,121/2,931,197
  6. Step 6: Final answer
    x = 13,830,032.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.