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Finding the Third Proportional to 35,888,310 and 78,724,656

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Solution

The third proportional to 35,888,310 and 78,724,656 is: 172,690,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,888,310 : 78,724,656 = 78,724,656 : x
  2. Step 2: Convert to fraction form
    35,888,310/78,724,656 = 78,724,656/x
  3. Step 3: Cross multiply
    35,888,310x = 78,724,656 × 78,724,656
  4. Step 4: Simplify right side
    35,888,310x = 6,197,571,462,318,336
  5. Step 5: Solve for x
    x = 6,197,571,462,318,336/35,888,310
  6. Step 6: Final answer
    x = 172,690,535.23

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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.