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Finding the Third Proportional to 2,292,621,840 and 4,912,375,248

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Solution

The third proportional to 2,292,621,840 and 4,912,375,248 is: 10,525,691,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292,621,840 : 4,912,375,248 = 4,912,375,248 : x
  2. Step 2: Convert to fraction form
    2,292,621,840/4,912,375,248 = 4,912,375,248/x
  3. Step 3: Cross multiply
    2,292,621,840x = 4,912,375,248 × 4,912,375,248
  4. Step 4: Simplify right side
    2,292,621,840x = 24,131,430,577,163,063,296
  5. Step 5: Solve for x
    x = 24,131,430,577,163,063,296/2,292,621,840
  6. Step 6: Final answer
    x = 10,525,691,658.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.