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Finding the Third Proportional to 14,920,821 and 23,726,341

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Solution

The third proportional to 14,920,821 and 23,726,341 is: 37,728,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920,821 : 23,726,341 = 23,726,341 : x
  2. Step 2: Convert to fraction form
    14,920,821/23,726,341 = 23,726,341/x
  3. Step 3: Cross multiply
    14,920,821x = 23,726,341 × 23,726,341
  4. Step 4: Simplify right side
    14,920,821x = 562,939,257,248,281
  5. Step 5: Solve for x
    x = 562,939,257,248,281/14,920,821
  6. Step 6: Final answer
    x = 37,728,437.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.