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Finding the Third Proportional to 55,846,937 and 121,749,462

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Solution

The third proportional to 55,846,937 and 121,749,462 is: 265,420,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846,937 : 121,749,462 = 121,749,462 : x
  2. Step 2: Convert to fraction form
    55,846,937/121,749,462 = 121,749,462/x
  3. Step 3: Cross multiply
    55,846,937x = 121,749,462 × 121,749,462
  4. Step 4: Simplify right side
    55,846,937x = 14,822,931,497,289,444
  5. Step 5: Solve for x
    x = 14,822,931,497,289,444/55,846,937
  6. Step 6: Final answer
    x = 265,420,671.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.