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Finding the Third Proportional to 858,285,756 and 1,853,781,678

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Solution

The third proportional to 858,285,756 and 1,853,781,678 is: 4,003,918,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,285,756 : 1,853,781,678 = 1,853,781,678 : x
  2. Step 2: Convert to fraction form
    858,285,756/1,853,781,678 = 1,853,781,678/x
  3. Step 3: Cross multiply
    858,285,756x = 1,853,781,678 × 1,853,781,678
  4. Step 4: Simplify right side
    858,285,756x = 3,436,506,509,688,495,616
  5. Step 5: Solve for x
    x = 3,436,506,509,688,495,616/858,285,756
  6. Step 6: Final answer
    x = 4,003,918,841.32

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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.