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Finding the Third Proportional to 5,098,646,074.50 and 10,972,133,358

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Solution

The third proportional to 5,098,646,074.50 and 10,972,133,358 is: 23,611,701,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098,646,074.50 : 10,972,133,358 = 10,972,133,358 : x
  2. Step 2: Convert to fraction form
    5,098,646,074.50/10,972,133,358 = 10,972,133,358/x
  3. Step 3: Cross multiply
    5,098,646,074.50x = 10,972,133,358 × 10,972,133,358
  4. Step 4: Simplify right side
    5,098,646,074.50x = 120,387,710,425,736,364,032
  5. Step 5: Solve for x
    x = 120,387,710,425,736,364,032/5,098,646,074.50
  6. Step 6: Final answer
    x = 23,611,701,747.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.