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Finding the Third Proportional to 286,196,886 and 617,717,160

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Solution

The third proportional to 286,196,886 and 617,717,160 is: 1,333,258,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,196,886 : 617,717,160 = 617,717,160 : x
  2. Step 2: Convert to fraction form
    286,196,886/617,717,160 = 617,717,160/x
  3. Step 3: Cross multiply
    286,196,886x = 617,717,160 × 617,717,160
  4. Step 4: Simplify right side
    286,196,886x = 381,574,489,758,465,600
  5. Step 5: Solve for x
    x = 381,574,489,758,465,600/286,196,886
  6. Step 6: Final answer
    x = 1,333,258,705.54

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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.