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Finding the Third Proportional to 149,015,472 and 325,732,952

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Solution

The third proportional to 149,015,472 and 325,732,952 is: 712,019,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,015,472 : 325,732,952 = 325,732,952 : x
  2. Step 2: Convert to fraction form
    149,015,472/325,732,952 = 325,732,952/x
  3. Step 3: Cross multiply
    149,015,472x = 325,732,952 × 325,732,952
  4. Step 4: Simplify right side
    149,015,472x = 106,101,956,018,634,304
  5. Step 5: Solve for x
    x = 106,101,956,018,634,304/149,015,472
  6. Step 6: Final answer
    x = 712,019,729.19

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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.