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Finding the Third Proportional to 9,690,398 and 14,114,964

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Solution

The third proportional to 9,690,398 and 14,114,964 is: 20,559,755.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690,398 : 14,114,964 = 14,114,964 : x
  2. Step 2: Convert to fraction form
    9,690,398/14,114,964 = 14,114,964/x
  3. Step 3: Cross multiply
    9,690,398x = 14,114,964 × 14,114,964
  4. Step 4: Simplify right side
    9,690,398x = 199,232,208,721,296
  5. Step 5: Solve for x
    x = 199,232,208,721,296/9,690,398
  6. Step 6: Final answer
    x = 20,559,755.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.