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Finding the Third Proportional to 6,435,708 and 9,443,178

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Solution

The third proportional to 6,435,708 and 9,443,178 is: 13,856,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435,708 : 9,443,178 = 9,443,178 : x
  2. Step 2: Convert to fraction form
    6,435,708/9,443,178 = 9,443,178/x
  3. Step 3: Cross multiply
    6,435,708x = 9,443,178 × 9,443,178
  4. Step 4: Simplify right side
    6,435,708x = 89,173,610,739,684
  5. Step 5: Solve for x
    x = 89,173,610,739,684/6,435,708
  6. Step 6: Final answer
    x = 13,856,068.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.