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Finding the Third Proportional to 82,402,604,530.50 and 176,728,043,812.50

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Solution

The third proportional to 82,402,604,530.50 and 176,728,043,812.50 is: 379,026,872,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,402,604,530.50 : 176,728,043,812.50 = 176,728,043,812.50 : x
  2. Step 2: Convert to fraction form
    82,402,604,530.50/176,728,043,812.50 = 176,728,043,812.50/x
  3. Step 3: Cross multiply
    82,402,604,530.50x = 176,728,043,812.50 × 176,728,043,812.50
  4. Step 4: Simplify right side
    82,402,604,530.50x = 31,232,801,469,792,920,797,184
  5. Step 5: Solve for x
    x = 31,232,801,469,792,920,797,184/82,402,604,530.50
  6. Step 6: Final answer
    x = 379,026,872,363.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.