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Finding the Third Proportional to 6,433,603 and 9,801,342

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Solution

The third proportional to 6,433,603 and 9,801,342 is: 14,931,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433,603 : 9,801,342 = 9,801,342 : x
  2. Step 2: Convert to fraction form
    6,433,603/9,801,342 = 9,801,342/x
  3. Step 3: Cross multiply
    6,433,603x = 9,801,342 × 9,801,342
  4. Step 4: Simplify right side
    6,433,603x = 96,066,305,000,964
  5. Step 5: Solve for x
    x = 96,066,305,000,964/6,433,603
  6. Step 6: Final answer
    x = 14,931,960.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.