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Finding the Third Proportional to 16,226,865,686.81 and 35,247,094,164

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Solution

The third proportional to 16,226,865,686.81 and 35,247,094,164 is: 76,561,775,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226,865,686.81 : 35,247,094,164 = 35,247,094,164 : x
  2. Step 2: Convert to fraction form
    16,226,865,686.81/35,247,094,164 = 35,247,094,164/x
  3. Step 3: Cross multiply
    16,226,865,686.81x = 35,247,094,164 × 35,247,094,164
  4. Step 4: Simplify right side
    16,226,865,686.81x = 1,242,357,647,005,882,777,600
  5. Step 5: Solve for x
    x = 1,242,357,647,005,882,777,600/16,226,865,686.81
  6. Step 6: Final answer
    x = 76,561,775,452.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.