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Finding the Third Proportional to 6,909,854 and 14,262,292

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Solution

The third proportional to 6,909,854 and 14,262,292 is: 29,438,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909,854 : 14,262,292 = 14,262,292 : x
  2. Step 2: Convert to fraction form
    6,909,854/14,262,292 = 14,262,292/x
  3. Step 3: Cross multiply
    6,909,854x = 14,262,292 × 14,262,292
  4. Step 4: Simplify right side
    6,909,854x = 203,412,973,093,264
  5. Step 5: Solve for x
    x = 203,412,973,093,264/6,909,854
  6. Step 6: Final answer
    x = 29,438,100.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.