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Finding the Third Proportional to 6,301,596 and 13,828,560

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Solution

The third proportional to 6,301,596 and 13,828,560 is: 30,346,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,596 : 13,828,560 = 13,828,560 : x
  2. Step 2: Convert to fraction form
    6,301,596/13,828,560 = 13,828,560/x
  3. Step 3: Cross multiply
    6,301,596x = 13,828,560 × 13,828,560
  4. Step 4: Simplify right side
    6,301,596x = 191,229,071,673,600
  5. Step 5: Solve for x
    x = 191,229,071,673,600/6,301,596
  6. Step 6: Final answer
    x = 30,346,133.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.