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Finding the Third Proportional to 7,766,649,728 and 17,116,390,024

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Solution

The third proportional to 7,766,649,728 and 17,116,390,024 is: 37,721,645,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766,649,728 : 17,116,390,024 = 17,116,390,024 : x
  2. Step 2: Convert to fraction form
    7,766,649,728/17,116,390,024 = 17,116,390,024/x
  3. Step 3: Cross multiply
    7,766,649,728x = 17,116,390,024 × 17,116,390,024
  4. Step 4: Simplify right side
    7,766,649,728x = 292,970,807,453,686,726,656
  5. Step 5: Solve for x
    x = 292,970,807,453,686,726,656/7,766,649,728
  6. Step 6: Final answer
    x = 37,721,645,460.27

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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.