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Finding the Third Proportional to 9,671,370 and 14,631,442

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Solution

The third proportional to 9,671,370 and 14,631,442 is: 22,135,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671,370 : 14,631,442 = 14,631,442 : x
  2. Step 2: Convert to fraction form
    9,671,370/14,631,442 = 14,631,442/x
  3. Step 3: Cross multiply
    9,671,370x = 14,631,442 × 14,631,442
  4. Step 4: Simplify right side
    9,671,370x = 214,079,094,999,364
  5. Step 5: Solve for x
    x = 214,079,094,999,364/9,671,370
  6. Step 6: Final answer
    x = 22,135,343.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.