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Finding the Third Proportional to 9,296,960 and 20,087,776

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Solution

The third proportional to 9,296,960 and 20,087,776 is: 43,403,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,960 : 20,087,776 = 20,087,776 : x
  2. Step 2: Convert to fraction form
    9,296,960/20,087,776 = 20,087,776/x
  3. Step 3: Cross multiply
    9,296,960x = 20,087,776 × 20,087,776
  4. Step 4: Simplify right side
    9,296,960x = 403,518,744,626,176
  5. Step 5: Solve for x
    x = 403,518,744,626,176/9,296,960
  6. Step 6: Final answer
    x = 43,403,300.07

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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.