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Finding the Third Proportional to 286,196,836.50 and 617,717,061

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Solution

The third proportional to 286,196,836.50 and 617,717,061 is: 1,333,258,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,196,836.50 : 617,717,061 = 617,717,061 : x
  2. Step 2: Convert to fraction form
    286,196,836.50/617,717,061 = 617,717,061/x
  3. Step 3: Cross multiply
    286,196,836.50x = 617,717,061 × 617,717,061
  4. Step 4: Simplify right side
    286,196,836.50x = 381,574,367,450,477,696
  5. Step 5: Solve for x
    x = 381,574,367,450,477,696/286,196,836.50
  6. Step 6: Final answer
    x = 1,333,258,508.78

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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.