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Finding the Third Proportional to 21,018,302.86 and 29,585,504.32

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Solution

The third proportional to 21,018,302.86 and 29,585,504.32 is: 41,644,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018,302.86 : 29,585,504.32 = 29,585,504.32 : x
  2. Step 2: Convert to fraction form
    21,018,302.86/29,585,504.32 = 29,585,504.32/x
  3. Step 3: Cross multiply
    21,018,302.86x = 29,585,504.32 × 29,585,504.32
  4. Step 4: Simplify right side
    21,018,302.86x = 875,302,065,887,200.12
  5. Step 5: Solve for x
    x = 875,302,065,887,200.12/21,018,302.86
  6. Step 6: Final answer
    x = 41,644,754.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.