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Finding the Third Proportional to 10,301,416 and 21,450,595

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Solution

The third proportional to 10,301,416 and 21,450,595 is: 44,666,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301,416 : 21,450,595 = 21,450,595 : x
  2. Step 2: Convert to fraction form
    10,301,416/21,450,595 = 21,450,595/x
  3. Step 3: Cross multiply
    10,301,416x = 21,450,595 × 21,450,595
  4. Step 4: Simplify right side
    10,301,416x = 460,128,025,854,025
  5. Step 5: Solve for x
    x = 460,128,025,854,025/10,301,416
  6. Step 6: Final answer
    x = 44,666,483.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.