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Finding the Third Proportional to 66,609,343,235 and 145,424,698,483

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Solution

The third proportional to 66,609,343,235 and 145,424,698,483 is: 317,498,145,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,609,343,235 : 145,424,698,483 = 145,424,698,483 : x
  2. Step 2: Convert to fraction form
    66,609,343,235/145,424,698,483 = 145,424,698,483/x
  3. Step 3: Cross multiply
    66,609,343,235x = 145,424,698,483 × 145,424,698,483
  4. Step 4: Simplify right side
    66,609,343,235x = 21,148,342,928,871,463,583,744
  5. Step 5: Solve for x
    x = 21,148,342,928,871,463,583,744/66,609,343,235
  6. Step 6: Final answer
    x = 317,498,145,181.52

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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.