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Finding the Third Proportional to 4,583,719 and 9,713,843

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Solution

The third proportional to 4,583,719 and 9,713,843 is: 20,585,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583,719 : 9,713,843 = 9,713,843 : x
  2. Step 2: Convert to fraction form
    4,583,719/9,713,843 = 9,713,843/x
  3. Step 3: Cross multiply
    4,583,719x = 9,713,843 × 9,713,843
  4. Step 4: Simplify right side
    4,583,719x = 94,358,745,828,649
  5. Step 5: Solve for x
    x = 94,358,745,828,649/4,583,719
  6. Step 6: Final answer
    x = 20,585,630.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.