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Finding the Third Proportional to 286,196,841 and 617,717,069

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Solution

The third proportional to 286,196,841 and 617,717,069 is: 1,333,258,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,196,841 : 617,717,069 = 617,717,069 : x
  2. Step 2: Convert to fraction form
    286,196,841/617,717,069 = 617,717,069/x
  3. Step 3: Cross multiply
    286,196,841x = 617,717,069 × 617,717,069
  4. Step 4: Simplify right side
    286,196,841x = 381,574,377,333,950,784
  5. Step 5: Solve for x
    x = 381,574,377,333,950,784/286,196,841
  6. Step 6: Final answer
    x = 1,333,258,522.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.