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Finding the Third Proportional to 107,957,450,107 and 237,506,012,631

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Solution

The third proportional to 107,957,450,107 and 237,506,012,631 is: 522,512,397,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,957,450,107 : 237,506,012,631 = 237,506,012,631 : x
  2. Step 2: Convert to fraction form
    107,957,450,107/237,506,012,631 = 237,506,012,631/x
  3. Step 3: Cross multiply
    107,957,450,107x = 237,506,012,631 × 237,506,012,631
  4. Step 4: Simplify right side
    107,957,450,107x = 56,409,106,035,876,734,959,616
  5. Step 5: Solve for x
    x = 56,409,106,035,876,734,959,616/107,957,450,107
  6. Step 6: Final answer
    x = 522,512,397,059.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.