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Finding the Third Proportional to 35,824,419 and 78,356,196

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Solution

The third proportional to 35,824,419 and 78,356,196 is: 171,382,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,824,419 : 78,356,196 = 78,356,196 : x
  2. Step 2: Convert to fraction form
    35,824,419/78,356,196 = 78,356,196/x
  3. Step 3: Cross multiply
    35,824,419x = 78,356,196 × 78,356,196
  4. Step 4: Simplify right side
    35,824,419x = 6,139,693,451,590,416
  5. Step 5: Solve for x
    x = 6,139,693,451,590,416/35,824,419
  6. Step 6: Final answer
    x = 171,382,917.66

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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.