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Finding the Third Proportional to 35,829,904 and 78,366,098.50

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Solution

The third proportional to 35,829,904 and 78,366,098.50 is: 171,399,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829,904 : 78,366,098.50 = 78,366,098.50 : x
  2. Step 2: Convert to fraction form
    35,829,904/78,366,098.50 = 78,366,098.50/x
  3. Step 3: Cross multiply
    35,829,904x = 78,366,098.50 × 78,366,098.50
  4. Step 4: Simplify right side
    35,829,904x = 6,141,245,394,111,702
  5. Step 5: Solve for x
    x = 6,141,245,394,111,702/35,829,904
  6. Step 6: Final answer
    x = 171,399,995.77

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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.