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Finding the Third Proportional to 10,865,271 and 23,025,786

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Solution

The third proportional to 10,865,271 and 23,025,786 is: 48,796,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,271 : 23,025,786 = 23,025,786 : x
  2. Step 2: Convert to fraction form
    10,865,271/23,025,786 = 23,025,786/x
  3. Step 3: Cross multiply
    10,865,271x = 23,025,786 × 23,025,786
  4. Step 4: Simplify right side
    10,865,271x = 530,186,820,917,796
  5. Step 5: Solve for x
    x = 530,186,820,917,796/10,865,271
  6. Step 6: Final answer
    x = 48,796,465.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.