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Finding the Third Proportional to 5,098,646,068.50 and 10,972,133,346

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Solution

The third proportional to 5,098,646,068.50 and 10,972,133,346 is: 23,611,701,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098,646,068.50 : 10,972,133,346 = 10,972,133,346 : x
  2. Step 2: Convert to fraction form
    5,098,646,068.50/10,972,133,346 = 10,972,133,346/x
  3. Step 3: Cross multiply
    5,098,646,068.50x = 10,972,133,346 × 10,972,133,346
  4. Step 4: Simplify right side
    5,098,646,068.50x = 120,387,710,162,405,163,008
  5. Step 5: Solve for x
    x = 120,387,710,162,405,163,008/5,098,646,068.50
  6. Step 6: Final answer
    x = 23,611,701,723.36

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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.