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Finding the Third Proportional to 7,109,668 and 10,159,706

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Solution

The third proportional to 7,109,668 and 10,159,706 is: 14,518,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109,668 : 10,159,706 = 10,159,706 : x
  2. Step 2: Convert to fraction form
    7,109,668/10,159,706 = 10,159,706/x
  3. Step 3: Cross multiply
    7,109,668x = 10,159,706 × 10,159,706
  4. Step 4: Simplify right side
    7,109,668x = 103,219,626,006,436
  5. Step 5: Solve for x
    x = 103,219,626,006,436/7,109,668
  6. Step 6: Final answer
    x = 14,518,206.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.