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Finding the Third Proportional to 1,436,792,437.50 and 3,097,852,977

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Solution

The third proportional to 1,436,792,437.50 and 3,097,852,977 is: 6,679,248,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436,792,437.50 : 3,097,852,977 = 3,097,852,977 : x
  2. Step 2: Convert to fraction form
    1,436,792,437.50/3,097,852,977 = 3,097,852,977/x
  3. Step 3: Cross multiply
    1,436,792,437.50x = 3,097,852,977 × 3,097,852,977
  4. Step 4: Simplify right side
    1,436,792,437.50x = 9,596,693,067,107,762,176
  5. Step 5: Solve for x
    x = 9,596,693,067,107,762,176/1,436,792,437.50
  6. Step 6: Final answer
    x = 6,679,248,036.55

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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.