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Finding the Third Proportional to 7,644,809.25 and 16,800,284.25

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Solution

The third proportional to 7,644,809.25 and 16,800,284.25 is: 36,920,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644,809.25 : 16,800,284.25 = 16,800,284.25 : x
  2. Step 2: Convert to fraction form
    7,644,809.25/16,800,284.25 = 16,800,284.25/x
  3. Step 3: Cross multiply
    7,644,809.25x = 16,800,284.25 × 16,800,284.25
  4. Step 4: Simplify right side
    7,644,809.25x = 282,249,550,880,798.06
  5. Step 5: Solve for x
    x = 282,249,550,880,798.06/7,644,809.25
  6. Step 6: Final answer
    x = 36,920,417.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.