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Finding the Third Proportional to 9,830,574 and 15,263,451

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Solution

The third proportional to 9,830,574 and 15,263,451 is: 23,698,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,574 : 15,263,451 = 15,263,451 : x
  2. Step 2: Convert to fraction form
    9,830,574/15,263,451 = 15,263,451/x
  3. Step 3: Cross multiply
    9,830,574x = 15,263,451 × 15,263,451
  4. Step 4: Simplify right side
    9,830,574x = 232,972,936,429,401
  5. Step 5: Solve for x
    x = 232,972,936,429,401/9,830,574
  6. Step 6: Final answer
    x = 23,698,813.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.