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Finding the Third Proportional to 15,942,772,254 and 34,251,503,226

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Solution

The third proportional to 15,942,772,254 and 34,251,503,226 is: 73,586,039,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942,772,254 : 34,251,503,226 = 34,251,503,226 : x
  2. Step 2: Convert to fraction form
    15,942,772,254/34,251,503,226 = 34,251,503,226/x
  3. Step 3: Cross multiply
    15,942,772,254x = 34,251,503,226 × 34,251,503,226
  4. Step 4: Simplify right side
    15,942,772,254x = 1,173,165,473,240,688,361,472
  5. Step 5: Solve for x
    x = 1,173,165,473,240,688,361,472/15,942,772,254
  6. Step 6: Final answer
    x = 73,586,039,777.14

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Why These Related Problems?

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