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Finding the Third Proportional to 72,402,338,759 and 113,002,849,178

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Solution

The third proportional to 72,402,338,759 and 113,002,849,178 is: 176,370,599,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,402,338,759 : 113,002,849,178 = 113,002,849,178 : x
  2. Step 2: Convert to fraction form
    72,402,338,759/113,002,849,178 = 113,002,849,178/x
  3. Step 3: Cross multiply
    72,402,338,759x = 113,002,849,178 × 113,002,849,178
  4. Step 4: Simplify right side
    72,402,338,759x = 12,769,643,922,345,814,917,120
  5. Step 5: Solve for x
    x = 12,769,643,922,345,814,917,120/72,402,338,759
  6. Step 6: Final answer
    x = 176,370,599,917.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.