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Finding the Third Proportional to 858,285,776 and 1,853,781,718

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Solution

The third proportional to 858,285,776 and 1,853,781,718 is: 4,003,918,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,285,776 : 1,853,781,718 = 1,853,781,718 : x
  2. Step 2: Convert to fraction form
    858,285,776/1,853,781,718 = 1,853,781,718/x
  3. Step 3: Cross multiply
    858,285,776x = 1,853,781,718 × 1,853,781,718
  4. Step 4: Simplify right side
    858,285,776x = 3,436,506,657,991,031,296
  5. Step 5: Solve for x
    x = 3,436,506,657,991,031,296/858,285,776
  6. Step 6: Final answer
    x = 4,003,918,920.81

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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.