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Finding the Third Proportional to 34,810,364 and 75,406,168

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Solution

The third proportional to 34,810,364 and 75,406,168 is: 163,344,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,810,364 : 75,406,168 = 75,406,168 : x
  2. Step 2: Convert to fraction form
    34,810,364/75,406,168 = 75,406,168/x
  3. Step 3: Cross multiply
    34,810,364x = 75,406,168 × 75,406,168
  4. Step 4: Simplify right side
    34,810,364x = 5,686,090,172,444,224
  5. Step 5: Solve for x
    x = 5,686,090,172,444,224/34,810,364
  6. Step 6: Final answer
    x = 163,344,749.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.