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Finding the Third Proportional to 65,432,848 and 137,634,716

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Solution

The third proportional to 65,432,848 and 137,634,716 is: 289,507,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,432,848 : 137,634,716 = 137,634,716 : x
  2. Step 2: Convert to fraction form
    65,432,848/137,634,716 = 137,634,716/x
  3. Step 3: Cross multiply
    65,432,848x = 137,634,716 × 137,634,716
  4. Step 4: Simplify right side
    65,432,848x = 18,943,315,048,400,656
  5. Step 5: Solve for x
    x = 18,943,315,048,400,656/65,432,848
  6. Step 6: Final answer
    x = 289,507,726.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.