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Finding the Third Proportional to 6,941,076 and 14,947,952

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Solution

The third proportional to 6,941,076 and 14,947,952 is: 32,191,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941,076 : 14,947,952 = 14,947,952 : x
  2. Step 2: Convert to fraction form
    6,941,076/14,947,952 = 14,947,952/x
  3. Step 3: Cross multiply
    6,941,076x = 14,947,952 × 14,947,952
  4. Step 4: Simplify right side
    6,941,076x = 223,441,268,994,304
  5. Step 5: Solve for x
    x = 223,441,268,994,304/6,941,076
  6. Step 6: Final answer
    x = 32,191,157.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.