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Finding the Third Proportional to 21,400,560 and 46,385,712

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Solution

The third proportional to 21,400,560 and 46,385,712 is: 100,541,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400,560 : 46,385,712 = 46,385,712 : x
  2. Step 2: Convert to fraction form
    21,400,560/46,385,712 = 46,385,712/x
  3. Step 3: Cross multiply
    21,400,560x = 46,385,712 × 46,385,712
  4. Step 4: Simplify right side
    21,400,560x = 2,151,634,277,746,944
  5. Step 5: Solve for x
    x = 2,151,634,277,746,944/21,400,560
  6. Step 6: Final answer
    x = 100,541,026.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.