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Finding the Third Proportional to 282,196,516 and 607,639,040

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Solution

The third proportional to 282,196,516 and 607,639,040 is: 1,308,397,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,196,516 : 607,639,040 = 607,639,040 : x
  2. Step 2: Convert to fraction form
    282,196,516/607,639,040 = 607,639,040/x
  3. Step 3: Cross multiply
    282,196,516x = 607,639,040 × 607,639,040
  4. Step 4: Simplify right side
    282,196,516x = 369,225,202,932,121,600
  5. Step 5: Solve for x
    x = 369,225,202,932,121,600/282,196,516
  6. Step 6: Final answer
    x = 1,308,397,453.54

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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.