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Finding the Third Proportional to 6,565,668 and 9,822,208.50

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Solution

The third proportional to 6,565,668 and 9,822,208.50 is: 14,693,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565,668 : 9,822,208.50 = 9,822,208.50 : x
  2. Step 2: Convert to fraction form
    6,565,668/9,822,208.50 = 9,822,208.50/x
  3. Step 3: Cross multiply
    6,565,668x = 9,822,208.50 × 9,822,208.50
  4. Step 4: Simplify right side
    6,565,668x = 96,475,779,817,472.25
  5. Step 5: Solve for x
    x = 96,475,779,817,472.25/6,565,668
  6. Step 6: Final answer
    x = 14,693,977.80

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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.