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Finding the Third Proportional to 286,095,251 and 617,927,224

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Solution

The third proportional to 286,095,251 and 617,927,224 is: 1,334,639,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095,251 : 617,927,224 = 617,927,224 : x
  2. Step 2: Convert to fraction form
    286,095,251/617,927,224 = 617,927,224/x
  3. Step 3: Cross multiply
    286,095,251x = 617,927,224 × 617,927,224
  4. Step 4: Simplify right side
    286,095,251x = 381,834,054,160,346,176
  5. Step 5: Solve for x
    x = 381,834,054,160,346,176/286,095,251
  6. Step 6: Final answer
    x = 1,334,639,609.80

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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.