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Finding the Third Proportional to 46,363,995 and 100,786,437

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Solution

The third proportional to 46,363,995 and 100,786,437 is: 219,090,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,363,995 : 100,786,437 = 100,786,437 : x
  2. Step 2: Convert to fraction form
    46,363,995/100,786,437 = 100,786,437/x
  3. Step 3: Cross multiply
    46,363,995x = 100,786,437 × 100,786,437
  4. Step 4: Simplify right side
    46,363,995x = 10,157,905,883,154,968
  5. Step 5: Solve for x
    x = 10,157,905,883,154,968/46,363,995
  6. Step 6: Final answer
    x = 219,090,392.95

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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.