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Finding the Third Proportional to 858,285,762 and 1,853,781,684

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Solution

The third proportional to 858,285,762 and 1,853,781,684 is: 4,003,918,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,285,762 : 1,853,781,684 = 1,853,781,684 : x
  2. Step 2: Convert to fraction form
    858,285,762/1,853,781,684 = 1,853,781,684/x
  3. Step 3: Cross multiply
    858,285,762x = 1,853,781,684 × 1,853,781,684
  4. Step 4: Simplify right side
    858,285,762x = 3,436,506,531,933,875,712
  5. Step 5: Solve for x
    x = 3,436,506,531,933,875,712/858,285,762
  6. Step 6: Final answer
    x = 4,003,918,839.25

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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.