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Finding the Third Proportional to 7,946,523 and 17,163,207

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Solution

The third proportional to 7,946,523 and 17,163,207 is: 37,069,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946,523 : 17,163,207 = 17,163,207 : x
  2. Step 2: Convert to fraction form
    7,946,523/17,163,207 = 17,163,207/x
  3. Step 3: Cross multiply
    7,946,523x = 17,163,207 × 17,163,207
  4. Step 4: Simplify right side
    7,946,523x = 294,575,674,524,849
  5. Step 5: Solve for x
    x = 294,575,674,524,849/7,946,523
  6. Step 6: Final answer
    x = 37,069,756.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.