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Finding the Third Proportional to 282,283,068 and 607,817,544

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Solution

The third proportional to 282,283,068 and 607,817,544 is: 1,308,764,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,283,068 : 607,817,544 = 607,817,544 : x
  2. Step 2: Convert to fraction form
    282,283,068/607,817,544 = 607,817,544/x
  3. Step 3: Cross multiply
    282,283,068x = 607,817,544 × 607,817,544
  4. Step 4: Simplify right side
    282,283,068x = 369,442,166,794,191,936
  5. Step 5: Solve for x
    x = 369,442,166,794,191,936/282,283,068
  6. Step 6: Final answer
    x = 1,308,764,884.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.