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Finding the Third Proportional to 66,609,343,237 and 145,424,698,487

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Solution

The third proportional to 66,609,343,237 and 145,424,698,487 is: 317,498,145,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,609,343,237 : 145,424,698,487 = 145,424,698,487 : x
  2. Step 2: Convert to fraction form
    66,609,343,237/145,424,698,487 = 145,424,698,487/x
  3. Step 3: Cross multiply
    66,609,343,237x = 145,424,698,487 × 145,424,698,487
  4. Step 4: Simplify right side
    66,609,343,237x = 21,148,342,930,034,858,655,744
  5. Step 5: Solve for x
    x = 21,148,342,930,034,858,655,744/66,609,343,237
  6. Step 6: Final answer
    x = 317,498,145,189.45

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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.