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Finding the Third Proportional to 2,288,762,136 and 4,943,418,024

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Solution

The third proportional to 2,288,762,136 and 4,943,418,024 is: 10,677,117,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,762,136 : 4,943,418,024 = 4,943,418,024 : x
  2. Step 2: Convert to fraction form
    2,288,762,136/4,943,418,024 = 4,943,418,024/x
  3. Step 3: Cross multiply
    2,288,762,136x = 4,943,418,024 × 4,943,418,024
  4. Step 4: Simplify right side
    2,288,762,136x = 24,437,381,760,008,065,024
  5. Step 5: Solve for x
    x = 24,437,381,760,008,065,024/2,288,762,136
  6. Step 6: Final answer
    x = 10,677,117,283.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.