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Finding the Third Proportional to 5,884,977.80 and 12,470,033.53

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Solution

The third proportional to 5,884,977.80 and 12,470,033.53 is: 26,423,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884,977.80 : 12,470,033.53 = 12,470,033.53 : x
  2. Step 2: Convert to fraction form
    5,884,977.80/12,470,033.53 = 12,470,033.53/x
  3. Step 3: Cross multiply
    5,884,977.80x = 12,470,033.53 × 12,470,033.53
  4. Step 4: Simplify right side
    5,884,977.80x = 155,501,736,270,499.34
  5. Step 5: Solve for x
    x = 155,501,736,270,499.34/5,884,977.80
  6. Step 6: Final answer
    x = 26,423,504.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.