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Finding the Third Proportional to 75,710,500 and 164,707,024

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Solution

The third proportional to 75,710,500 and 164,707,024 is: 358,317,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,710,500 : 164,707,024 = 164,707,024 : x
  2. Step 2: Convert to fraction form
    75,710,500/164,707,024 = 164,707,024/x
  3. Step 3: Cross multiply
    75,710,500x = 164,707,024 × 164,707,024
  4. Step 4: Simplify right side
    75,710,500x = 27,128,403,754,936,576
  5. Step 5: Solve for x
    x = 27,128,403,754,936,576/75,710,500
  6. Step 6: Final answer
    x = 358,317,588.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.