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Finding the Third Proportional to 286,095,249 and 617,927,220

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Solution

The third proportional to 286,095,249 and 617,927,220 is: 1,334,639,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095,249 : 617,927,220 = 617,927,220 : x
  2. Step 2: Convert to fraction form
    286,095,249/617,927,220 = 617,927,220/x
  3. Step 3: Cross multiply
    286,095,249x = 617,927,220 × 617,927,220
  4. Step 4: Simplify right side
    286,095,249x = 381,834,049,216,928,384
  5. Step 5: Solve for x
    x = 381,834,049,216,928,384/286,095,249
  6. Step 6: Final answer
    x = 1,334,639,601.85

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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.