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Finding the Third Proportional to 1,864,774,536,300 and 4,057,912,766,988

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Solution

The third proportional to 1,864,774,536,300 and 4,057,912,766,988 is: 8,830,373,701,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864,774,536,300 : 4,057,912,766,988 = 4,057,912,766,988 : x
  2. Step 2: Convert to fraction form
    1,864,774,536,300/4,057,912,766,988 = 4,057,912,766,988/x
  3. Step 3: Cross multiply
    1,864,774,536,300x = 4,057,912,766,988 × 4,057,912,766,988
  4. Step 4: Simplify right side
    1,864,774,536,300x = 16,466,656,024,484,207,329,804,288
  5. Step 5: Solve for x
    x = 16,466,656,024,484,207,329,804,288/1,864,774,536,300
  6. Step 6: Final answer
    x = 8,830,373,701,453.79

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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.