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Finding the Third Proportional to 6,477,187,968 and 9,951,483,514

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Solution

The third proportional to 6,477,187,968 and 9,951,483,514 is: 15,289,354,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,187,968 : 9,951,483,514 = 9,951,483,514 : x
  2. Step 2: Convert to fraction form
    6,477,187,968/9,951,483,514 = 9,951,483,514/x
  3. Step 3: Cross multiply
    6,477,187,968x = 9,951,483,514 × 9,951,483,514
  4. Step 4: Simplify right side
    6,477,187,968x = 99,032,024,129,413,791,744
  5. Step 5: Solve for x
    x = 99,032,024,129,413,791,744/6,477,187,968
  6. Step 6: Final answer
    x = 15,289,354,673.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.