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Finding the Third Proportional to 7,746,101 and 17,020,930

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Solution

The third proportional to 7,746,101 and 17,020,930 is: 37,401,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746,101 : 17,020,930 = 17,020,930 : x
  2. Step 2: Convert to fraction form
    7,746,101/17,020,930 = 17,020,930/x
  3. Step 3: Cross multiply
    7,746,101x = 17,020,930 × 17,020,930
  4. Step 4: Simplify right side
    7,746,101x = 289,712,058,064,900
  5. Step 5: Solve for x
    x = 289,712,058,064,900/7,746,101
  6. Step 6: Final answer
    x = 37,401,017.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.