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Finding the Third Proportional to 6,630,971 and 9,905,511

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Solution

The third proportional to 6,630,971 and 9,905,511 is: 14,797,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630,971 : 9,905,511 = 9,905,511 : x
  2. Step 2: Convert to fraction form
    6,630,971/9,905,511 = 9,905,511/x
  3. Step 3: Cross multiply
    6,630,971x = 9,905,511 × 9,905,511
  4. Step 4: Simplify right side
    6,630,971x = 98,119,148,171,121
  5. Step 5: Solve for x
    x = 98,119,148,171,121/6,630,971
  6. Step 6: Final answer
    x = 14,797,101.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.