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Finding the Third Proportional to 42,227,995 and 65,281,196.50

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Solution

The third proportional to 42,227,995 and 65,281,196.50 is: 100,919,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,227,995 : 65,281,196.50 = 65,281,196.50 : x
  2. Step 2: Convert to fraction form
    42,227,995/65,281,196.50 = 65,281,196.50/x
  3. Step 3: Cross multiply
    42,227,995x = 65,281,196.50 × 65,281,196.50
  4. Step 4: Simplify right side
    42,227,995x = 4,261,634,616,471,612
  5. Step 5: Solve for x
    x = 4,261,634,616,471,612/42,227,995
  6. Step 6: Final answer
    x = 100,919,653.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.