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Finding the Third Proportional to 612,576,304 and 1,344,175,952

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Solution

The third proportional to 612,576,304 and 1,344,175,952 is: 2,949,524,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,576,304 : 1,344,175,952 = 1,344,175,952 : x
  2. Step 2: Convert to fraction form
    612,576,304/1,344,175,952 = 1,344,175,952/x
  3. Step 3: Cross multiply
    612,576,304x = 1,344,175,952 × 1,344,175,952
  4. Step 4: Simplify right side
    612,576,304x = 1,806,808,989,935,106,304
  5. Step 5: Solve for x
    x = 1,806,808,989,935,106,304/612,576,304
  6. Step 6: Final answer
    x = 2,949,524,782.69

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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.