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Finding the Third Proportional to 21,836,025 and 46,739,445

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Solution

The third proportional to 21,836,025 and 46,739,445 is: 100,044,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,836,025 : 46,739,445 = 46,739,445 : x
  2. Step 2: Convert to fraction form
    21,836,025/46,739,445 = 46,739,445/x
  3. Step 3: Cross multiply
    21,836,025x = 46,739,445 × 46,739,445
  4. Step 4: Simplify right side
    21,836,025x = 2,184,575,718,908,025
  5. Step 5: Solve for x
    x = 2,184,575,718,908,025/21,836,025
  6. Step 6: Final answer
    x = 100,044,569.42

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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.