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Finding the Third Proportional to 8,976,408 and 14,216,106

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Solution

The third proportional to 8,976,408 and 14,216,106 is: 22,514,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976,408 : 14,216,106 = 14,216,106 : x
  2. Step 2: Convert to fraction form
    8,976,408/14,216,106 = 14,216,106/x
  3. Step 3: Cross multiply
    8,976,408x = 14,216,106 × 14,216,106
  4. Step 4: Simplify right side
    8,976,408x = 202,097,669,803,236
  5. Step 5: Solve for x
    x = 202,097,669,803,236/8,976,408
  6. Step 6: Final answer
    x = 22,514,314.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.