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Finding the Third Proportional to 46,443,260 and 64,965,223

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Solution

The third proportional to 46,443,260 and 64,965,223 is: 90,873,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,443,260 : 64,965,223 = 64,965,223 : x
  2. Step 2: Convert to fraction form
    46,443,260/64,965,223 = 64,965,223/x
  3. Step 3: Cross multiply
    46,443,260x = 64,965,223 × 64,965,223
  4. Step 4: Simplify right side
    46,443,260x = 4,220,480,199,439,729
  5. Step 5: Solve for x
    x = 4,220,480,199,439,729/46,443,260
  6. Step 6: Final answer
    x = 90,873,900.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.