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Finding the Third Proportional to 9,646,271 and 21,235,633

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Solution

The third proportional to 9,646,271 and 21,235,633 is: 46,748,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,271 : 21,235,633 = 21,235,633 : x
  2. Step 2: Convert to fraction form
    9,646,271/21,235,633 = 21,235,633/x
  3. Step 3: Cross multiply
    9,646,271x = 21,235,633 × 21,235,633
  4. Step 4: Simplify right side
    9,646,271x = 450,952,108,910,689
  5. Step 5: Solve for x
    x = 450,952,108,910,689/9,646,271
  6. Step 6: Final answer
    x = 46,748,853.41

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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.