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Finding the Third Proportional to 6,553,389 and 9,830,088

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Solution

The third proportional to 6,553,389 and 9,830,088 is: 14,745,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,389 : 9,830,088 = 9,830,088 : x
  2. Step 2: Convert to fraction form
    6,553,389/9,830,088 = 9,830,088/x
  3. Step 3: Cross multiply
    6,553,389x = 9,830,088 × 9,830,088
  4. Step 4: Simplify right side
    6,553,389x = 96,630,630,087,744
  5. Step 5: Solve for x
    x = 96,630,630,087,744/6,553,389
  6. Step 6: Final answer
    x = 14,745,138.75

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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.