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Finding the Third Proportional to 10,454,083 and 22,421,502

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Solution

The third proportional to 10,454,083 and 22,421,502 is: 48,088,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454,083 : 22,421,502 = 22,421,502 : x
  2. Step 2: Convert to fraction form
    10,454,083/22,421,502 = 22,421,502/x
  3. Step 3: Cross multiply
    10,454,083x = 22,421,502 × 22,421,502
  4. Step 4: Simplify right side
    10,454,083x = 502,723,751,936,004
  5. Step 5: Solve for x
    x = 502,723,751,936,004/10,454,083
  6. Step 6: Final answer
    x = 48,088,746.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.