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Finding the Third Proportional to 5,389,673,924 and 11,728,402,650

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Solution

The third proportional to 5,389,673,924 and 11,728,402,650 is: 25,522,031,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389,673,924 : 11,728,402,650 = 11,728,402,650 : x
  2. Step 2: Convert to fraction form
    5,389,673,924/11,728,402,650 = 11,728,402,650/x
  3. Step 3: Cross multiply
    5,389,673,924x = 11,728,402,650 × 11,728,402,650
  4. Step 4: Simplify right side
    5,389,673,924x = 137,555,428,720,527,015,936
  5. Step 5: Solve for x
    x = 137,555,428,720,527,015,936/5,389,673,924
  6. Step 6: Final answer
    x = 25,522,031,696.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.