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Finding the Third Proportional to 65,432,796 and 137,634,600

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Solution

The third proportional to 65,432,796 and 137,634,600 is: 289,507,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,432,796 : 137,634,600 = 137,634,600 : x
  2. Step 2: Convert to fraction form
    65,432,796/137,634,600 = 137,634,600/x
  3. Step 3: Cross multiply
    65,432,796x = 137,634,600 × 137,634,600
  4. Step 4: Simplify right side
    65,432,796x = 18,943,283,117,160,000
  5. Step 5: Solve for x
    x = 18,943,283,117,160,000/65,432,796
  6. Step 6: Final answer
    x = 289,507,468.35

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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.