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Finding the Third Proportional to 10,643,288 and 23,346,864

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Solution

The third proportional to 10,643,288 and 23,346,864 is: 51,213,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643,288 : 23,346,864 = 23,346,864 : x
  2. Step 2: Convert to fraction form
    10,643,288/23,346,864 = 23,346,864/x
  3. Step 3: Cross multiply
    10,643,288x = 23,346,864 × 23,346,864
  4. Step 4: Simplify right side
    10,643,288x = 545,076,058,634,496
  5. Step 5: Solve for x
    x = 545,076,058,634,496/10,643,288
  6. Step 6: Final answer
    x = 51,213,126.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.