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Finding the Third Proportional to 8,020,514.95 and 12,069,062.02

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Solution

The third proportional to 8,020,514.95 and 12,069,062.02 is: 18,161,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,514.95 : 12,069,062.02 = 12,069,062.02 : x
  2. Step 2: Convert to fraction form
    8,020,514.95/12,069,062.02 = 12,069,062.02/x
  3. Step 3: Cross multiply
    8,020,514.95x = 12,069,062.02 × 12,069,062.02
  4. Step 4: Simplify right side
    8,020,514.95x = 145,662,257,937,002.19
  5. Step 5: Solve for x
    x = 145,662,257,937,002.19/8,020,514.95
  6. Step 6: Final answer
    x = 18,161,210.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.