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Finding the Third Proportional to 21,343,314 and 46,734,036

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Solution

The third proportional to 21,343,314 and 46,734,036 is: 102,330,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343,314 : 46,734,036 = 46,734,036 : x
  2. Step 2: Convert to fraction form
    21,343,314/46,734,036 = 46,734,036/x
  3. Step 3: Cross multiply
    21,343,314x = 46,734,036 × 46,734,036
  4. Step 4: Simplify right side
    21,343,314x = 2,184,070,120,849,296
  5. Step 5: Solve for x
    x = 2,184,070,120,849,296/21,343,314
  6. Step 6: Final answer
    x = 102,330,412.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.