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Finding the Third Proportional to 71,658,450,176 and 155,240,842,072

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Solution

The third proportional to 71,658,450,176 and 155,240,842,072 is: 336,313,707,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658,450,176 : 155,240,842,072 = 155,240,842,072 : x
  2. Step 2: Convert to fraction form
    71,658,450,176/155,240,842,072 = 155,240,842,072/x
  3. Step 3: Cross multiply
    71,658,450,176x = 155,240,842,072 × 155,240,842,072
  4. Step 4: Simplify right side
    71,658,450,176x = 24,099,719,047,223,644,782,592
  5. Step 5: Solve for x
    x = 24,099,719,047,223,644,782,592/71,658,450,176
  6. Step 6: Final answer
    x = 336,313,707,427.84

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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.