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Finding the Third Proportional to 8,113,094.16 and 12,545,509.08

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Solution

The third proportional to 8,113,094.16 and 12,545,509.08 is: 19,399,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113,094.16 : 12,545,509.08 = 12,545,509.08 : x
  2. Step 2: Convert to fraction form
    8,113,094.16/12,545,509.08 = 12,545,509.08/x
  3. Step 3: Cross multiply
    8,113,094.16x = 12,545,509.08 × 12,545,509.08
  4. Step 4: Simplify right side
    8,113,094.16x = 157,389,798,029,316.78
  5. Step 5: Solve for x
    x = 157,389,798,029,316.78/8,113,094.16
  6. Step 6: Final answer
    x = 19,399,478.79

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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.