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Finding the Third Proportional to 9,778,158 and 13,962,537

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Solution

The third proportional to 9,778,158 and 13,962,537 is: 19,937,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,158 : 13,962,537 = 13,962,537 : x
  2. Step 2: Convert to fraction form
    9,778,158/13,962,537 = 13,962,537/x
  3. Step 3: Cross multiply
    9,778,158x = 13,962,537 × 13,962,537
  4. Step 4: Simplify right side
    9,778,158x = 194,952,439,476,369
  5. Step 5: Solve for x
    x = 194,952,439,476,369/9,778,158
  6. Step 6: Final answer
    x = 19,937,542.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.