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Finding the Third Proportional to 36,316,758 and 78,370,653

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Solution

The third proportional to 36,316,758 and 78,370,653 is: 169,121,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,316,758 : 78,370,653 = 78,370,653 : x
  2. Step 2: Convert to fraction form
    36,316,758/78,370,653 = 78,370,653/x
  3. Step 3: Cross multiply
    36,316,758x = 78,370,653 × 78,370,653
  4. Step 4: Simplify right side
    36,316,758x = 6,141,959,251,646,409
  5. Step 5: Solve for x
    x = 6,141,959,251,646,409/36,316,758
  6. Step 6: Final answer
    x = 169,121,903.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.