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Finding the Third Proportional to 6,827,641.54 and 14,629,159.09

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Solution

The third proportional to 6,827,641.54 and 14,629,159.09 is: 31,344,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827,641.54 : 14,629,159.09 = 14,629,159.09 : x
  2. Step 2: Convert to fraction form
    6,827,641.54/14,629,159.09 = 14,629,159.09/x
  3. Step 3: Cross multiply
    6,827,641.54x = 14,629,159.09 × 14,629,159.09
  4. Step 4: Simplify right side
    6,827,641.54x = 214,012,295,675,965.31
  5. Step 5: Solve for x
    x = 214,012,295,675,965.31/6,827,641.54
  6. Step 6: Final answer
    x = 31,344,981.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.