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Finding the Third Proportional to 6,428,160 and 9,725,184

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Solution

The third proportional to 6,428,160 and 9,725,184 is: 14,713,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428,160 : 9,725,184 = 9,725,184 : x
  2. Step 2: Convert to fraction form
    6,428,160/9,725,184 = 9,725,184/x
  3. Step 3: Cross multiply
    6,428,160x = 9,725,184 × 9,725,184
  4. Step 4: Simplify right side
    6,428,160x = 94,579,203,833,856
  5. Step 5: Solve for x
    x = 94,579,203,833,856/6,428,160
  6. Step 6: Final answer
    x = 14,713,262.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.