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Finding the Third Proportional to 7,807,914 and 11,665,944

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Solution

The third proportional to 7,807,914 and 11,665,944 is: 17,430,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807,914 : 11,665,944 = 11,665,944 : x
  2. Step 2: Convert to fraction form
    7,807,914/11,665,944 = 11,665,944/x
  3. Step 3: Cross multiply
    7,807,914x = 11,665,944 × 11,665,944
  4. Step 4: Simplify right side
    7,807,914x = 136,094,249,411,136
  5. Step 5: Solve for x
    x = 136,094,249,411,136/7,807,914
  6. Step 6: Final answer
    x = 17,430,295.65

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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.