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Finding the Third Proportional to 4,643,946 and 6,829,416

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Solution

The third proportional to 4,643,946 and 6,829,416 is: 10,043,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643,946 : 6,829,416 = 6,829,416 : x
  2. Step 2: Convert to fraction form
    4,643,946/6,829,416 = 6,829,416/x
  3. Step 3: Cross multiply
    4,643,946x = 6,829,416 × 6,829,416
  4. Step 4: Simplify right side
    4,643,946x = 46,640,922,901,056
  5. Step 5: Solve for x
    x = 46,640,922,901,056/4,643,946
  6. Step 6: Final answer
    x = 10,043,381.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.