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Finding the Third Proportional to 2,473,102 and 5,369,202

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Solution

The third proportional to 2,473,102 and 5,369,202 is: 11,656,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,102 : 5,369,202 = 5,369,202 : x
  2. Step 2: Convert to fraction form
    2,473,102/5,369,202 = 5,369,202/x
  3. Step 3: Cross multiply
    2,473,102x = 5,369,202 × 5,369,202
  4. Step 4: Simplify right side
    2,473,102x = 28,828,330,116,804
  5. Step 5: Solve for x
    x = 28,828,330,116,804/2,473,102
  6. Step 6: Final answer
    x = 11,656,749.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.