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Finding the Third Proportional to 35,888,148 and 78,724,392

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Solution

The third proportional to 35,888,148 and 78,724,392 is: 172,690,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,888,148 : 78,724,392 = 78,724,392 : x
  2. Step 2: Convert to fraction form
    35,888,148/78,724,392 = 78,724,392/x
  3. Step 3: Cross multiply
    35,888,148x = 78,724,392 × 78,724,392
  4. Step 4: Simplify right side
    35,888,148x = 6,197,529,895,769,664
  5. Step 5: Solve for x
    x = 6,197,529,895,769,664/35,888,148
  6. Step 6: Final answer
    x = 172,690,156.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.