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Finding the Third Proportional to 9,429,257 and 13,967,130

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Solution

The third proportional to 9,429,257 and 13,967,130 is: 20,688,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429,257 : 13,967,130 = 13,967,130 : x
  2. Step 2: Convert to fraction form
    9,429,257/13,967,130 = 13,967,130/x
  3. Step 3: Cross multiply
    9,429,257x = 13,967,130 × 13,967,130
  4. Step 4: Simplify right side
    9,429,257x = 195,080,720,436,900
  5. Step 5: Solve for x
    x = 195,080,720,436,900/9,429,257
  6. Step 6: Final answer
    x = 20,688,875.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.