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Finding the Third Proportional to 6,104,346 and 9,447,714

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Solution

The third proportional to 6,104,346 and 9,447,714 is: 14,622,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104,346 : 9,447,714 = 9,447,714 : x
  2. Step 2: Convert to fraction form
    6,104,346/9,447,714 = 9,447,714/x
  3. Step 3: Cross multiply
    6,104,346x = 9,447,714 × 9,447,714
  4. Step 4: Simplify right side
    6,104,346x = 89,259,299,825,796
  5. Step 5: Solve for x
    x = 89,259,299,825,796/6,104,346
  6. Step 6: Final answer
    x = 14,622,254.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.