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Finding the Third Proportional to 12,570,634.50 and 19,221,454.50

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Solution

The third proportional to 12,570,634.50 and 19,221,454.50 is: 29,391,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570,634.50 : 19,221,454.50 = 19,221,454.50 : x
  2. Step 2: Convert to fraction form
    12,570,634.50/19,221,454.50 = 19,221,454.50/x
  3. Step 3: Cross multiply
    12,570,634.50x = 19,221,454.50 × 19,221,454.50
  4. Step 4: Simplify right side
    12,570,634.50x = 369,464,313,095,570.25
  5. Step 5: Solve for x
    x = 369,464,313,095,570.25/12,570,634.50
  6. Step 6: Final answer
    x = 29,391,063.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.