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Finding the Third Proportional to 282,283,056 and 607,817,520

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Solution

The third proportional to 282,283,056 and 607,817,520 is: 1,308,764,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,283,056 : 607,817,520 = 607,817,520 : x
  2. Step 2: Convert to fraction form
    282,283,056/607,817,520 = 607,817,520/x
  3. Step 3: Cross multiply
    282,283,056x = 607,817,520 × 607,817,520
  4. Step 4: Simplify right side
    282,283,056x = 369,442,137,618,950,400
  5. Step 5: Solve for x
    x = 369,442,137,618,950,400/282,283,056
  6. Step 6: Final answer
    x = 1,308,764,836.45

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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.