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Finding the Third Proportional to 35,098,600 and 78,262,928

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Solution

The third proportional to 35,098,600 and 78,262,928 is: 174,510,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,098,600 : 78,262,928 = 78,262,928 : x
  2. Step 2: Convert to fraction form
    35,098,600/78,262,928 = 78,262,928/x
  3. Step 3: Cross multiply
    35,098,600x = 78,262,928 × 78,262,928
  4. Step 4: Simplify right side
    35,098,600x = 6,125,085,899,133,184
  5. Step 5: Solve for x
    x = 6,125,085,899,133,184/35,098,600
  6. Step 6: Final answer
    x = 174,510,832.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.