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Finding the Third Proportional to 8,465,089 and 12,716,929.50

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Solution

The third proportional to 8,465,089 and 12,716,929.50 is: 19,104,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465,089 : 12,716,929.50 = 12,716,929.50 : x
  2. Step 2: Convert to fraction form
    8,465,089/12,716,929.50 = 12,716,929.50/x
  3. Step 3: Cross multiply
    8,465,089x = 12,716,929.50 × 12,716,929.50
  4. Step 4: Simplify right side
    8,465,089x = 161,720,295,907,970.25
  5. Step 5: Solve for x
    x = 161,720,295,907,970.25/8,465,089
  6. Step 6: Final answer
    x = 19,104,382.23

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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.