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Finding the Third Proportional to 612,576,312 and 1,344,175,968

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Solution

The third proportional to 612,576,312 and 1,344,175,968 is: 2,949,524,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,576,312 : 1,344,175,968 = 1,344,175,968 : x
  2. Step 2: Convert to fraction form
    612,576,312/1,344,175,968 = 1,344,175,968/x
  3. Step 3: Cross multiply
    612,576,312x = 1,344,175,968 × 1,344,175,968
  4. Step 4: Simplify right side
    612,576,312x = 1,806,809,032,948,737,024
  5. Step 5: Solve for x
    x = 1,806,809,032,948,737,024/612,576,312
  6. Step 6: Final answer
    x = 2,949,524,814.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.