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Finding the Third Proportional to 4,767,378,706 and 10,263,358,289

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Solution

The third proportional to 4,767,378,706 and 10,263,358,289 is: 22,095,270,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767,378,706 : 10,263,358,289 = 10,263,358,289 : x
  2. Step 2: Convert to fraction form
    4,767,378,706/10,263,358,289 = 10,263,358,289/x
  3. Step 3: Cross multiply
    4,767,378,706x = 10,263,358,289 × 10,263,358,289
  4. Step 4: Simplify right side
    4,767,378,706x = 105,336,523,368,385,003,520
  5. Step 5: Solve for x
    x = 105,336,523,368,385,003,520/4,767,378,706
  6. Step 6: Final answer
    x = 22,095,270,769.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.