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Finding the Third Proportional to 35,468,565.75 and 76,406,818.50

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Solution

The third proportional to 35,468,565.75 and 76,406,818.50 is: 164,596,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,468,565.75 : 76,406,818.50 = 76,406,818.50 : x
  2. Step 2: Convert to fraction form
    35,468,565.75/76,406,818.50 = 76,406,818.50/x
  3. Step 3: Cross multiply
    35,468,565.75x = 76,406,818.50 × 76,406,818.50
  4. Step 4: Simplify right side
    35,468,565.75x = 5,838,001,913,291,942
  5. Step 5: Solve for x
    x = 5,838,001,913,291,942/35,468,565.75
  6. Step 6: Final answer
    x = 164,596,503.69

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