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Finding the Third Proportional to 34,724,646.84 and 74,061,129.94

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Solution

The third proportional to 34,724,646.84 and 74,061,129.94 is: 157,958,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,724,646.84 : 74,061,129.94 = 74,061,129.94 : x
  2. Step 2: Convert to fraction form
    34,724,646.84/74,061,129.94 = 74,061,129.94/x
  3. Step 3: Cross multiply
    34,724,646.84x = 74,061,129.94 × 74,061,129.94
  4. Step 4: Simplify right side
    34,724,646.84x = 5,485,050,967,619,259
  5. Step 5: Solve for x
    x = 5,485,050,967,619,259/34,724,646.84
  6. Step 6: Final answer
    x = 157,958,437.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.