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Finding the Third Proportional to 3,847,377,300 and 8,403,106,284

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Solution

The third proportional to 3,847,377,300 and 8,403,106,284 is: 18,353,332,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847,377,300 : 8,403,106,284 = 8,403,106,284 : x
  2. Step 2: Convert to fraction form
    3,847,377,300/8,403,106,284 = 8,403,106,284/x
  3. Step 3: Cross multiply
    3,847,377,300x = 8,403,106,284 × 8,403,106,284
  4. Step 4: Simplify right side
    3,847,377,300x = 70,612,195,220,200,292,352
  5. Step 5: Solve for x
    x = 70,612,195,220,200,292,352/3,847,377,300
  6. Step 6: Final answer
    x = 18,353,332,598.86

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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.