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Finding the Third Proportional to 1,864,774,536,301 and 4,057,912,766,990

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Solution

The third proportional to 1,864,774,536,301 and 4,057,912,766,990 is: 8,830,373,701,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864,774,536,301 : 4,057,912,766,990 = 4,057,912,766,990 : x
  2. Step 2: Convert to fraction form
    1,864,774,536,301/4,057,912,766,990 = 4,057,912,766,990/x
  3. Step 3: Cross multiply
    1,864,774,536,301x = 4,057,912,766,990 × 4,057,912,766,990
  4. Step 4: Simplify right side
    1,864,774,536,301x = 16,466,656,024,500,438,011,215,872
  5. Step 5: Solve for x
    x = 16,466,656,024,500,438,011,215,872/1,864,774,536,301
  6. Step 6: Final answer
    x = 8,830,373,701,457.76

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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.