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Finding the Third Proportional to 858,285,765 and 1,853,781,696

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Solution

The third proportional to 858,285,765 and 1,853,781,696 is: 4,003,918,877.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,285,765 : 1,853,781,696 = 1,853,781,696 : x
  2. Step 2: Convert to fraction form
    858,285,765/1,853,781,696 = 1,853,781,696/x
  3. Step 3: Cross multiply
    858,285,765x = 1,853,781,696 × 1,853,781,696
  4. Step 4: Simplify right side
    858,285,765x = 3,436,506,576,424,636,416
  5. Step 5: Solve for x
    x = 3,436,506,576,424,636,416/858,285,765
  6. Step 6: Final answer
    x = 4,003,918,877.09

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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.