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Finding the Third Proportional to 35,888,144 and 78,724,384

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Solution

The third proportional to 35,888,144 and 78,724,384 is: 172,690,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,888,144 : 78,724,384 = 78,724,384 : x
  2. Step 2: Convert to fraction form
    35,888,144/78,724,384 = 78,724,384/x
  3. Step 3: Cross multiply
    35,888,144x = 78,724,384 × 78,724,384
  4. Step 4: Simplify right side
    35,888,144x = 6,197,528,636,179,456
  5. Step 5: Solve for x
    x = 6,197,528,636,179,456/35,888,144
  6. Step 6: Final answer
    x = 172,690,140.68

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