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Finding the Third Proportional to 10,933,290,781 and 16,328,291,275

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Solution

The third proportional to 10,933,290,781 and 16,328,291,275 is: 24,385,439,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933,290,781 : 16,328,291,275 = 16,328,291,275 : x
  2. Step 2: Convert to fraction form
    10,933,290,781/16,328,291,275 = 16,328,291,275/x
  3. Step 3: Cross multiply
    10,933,290,781x = 16,328,291,275 × 16,328,291,275
  4. Step 4: Simplify right side
    10,933,290,781x = 266,613,095,961,241,124,864
  5. Step 5: Solve for x
    x = 266,613,095,961,241,124,864/10,933,290,781
  6. Step 6: Final answer
    x = 24,385,439,050.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.