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Finding the Third Proportional to 10,471,356 and 15,362,298

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Solution

The third proportional to 10,471,356 and 15,362,298 is: 22,537,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471,356 : 15,362,298 = 15,362,298 : x
  2. Step 2: Convert to fraction form
    10,471,356/15,362,298 = 15,362,298/x
  3. Step 3: Cross multiply
    10,471,356x = 15,362,298 × 15,362,298
  4. Step 4: Simplify right side
    10,471,356x = 236,000,199,840,804
  5. Step 5: Solve for x
    x = 236,000,199,840,804/10,471,356
  6. Step 6: Final answer
    x = 22,537,692.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.