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Finding the Third Proportional to 77,726,250,353 and 119,417,793,254

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Solution

The third proportional to 77,726,250,353 and 119,417,793,254 is: 183,472,241,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,726,250,353 : 119,417,793,254 = 119,417,793,254 : x
  2. Step 2: Convert to fraction form
    77,726,250,353/119,417,793,254 = 119,417,793,254/x
  3. Step 3: Cross multiply
    77,726,250,353x = 119,417,793,254 × 119,417,793,254
  4. Step 4: Simplify right side
    77,726,250,353x = 14,260,609,345,655,087,824,896
  5. Step 5: Solve for x
    x = 14,260,609,345,655,087,824,896/77,726,250,353
  6. Step 6: Final answer
    x = 183,472,241,114.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.