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Finding the Third Proportional to 1,186,153,046 and 2,470,482,890

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Solution

The third proportional to 1,186,153,046 and 2,470,482,890 is: 5,145,445,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,153,046 : 2,470,482,890 = 2,470,482,890 : x
  2. Step 2: Convert to fraction form
    1,186,153,046/2,470,482,890 = 2,470,482,890/x
  3. Step 3: Cross multiply
    1,186,153,046x = 2,470,482,890 × 2,470,482,890
  4. Step 4: Simplify right side
    1,186,153,046x = 6,103,285,709,782,752,256
  5. Step 5: Solve for x
    x = 6,103,285,709,782,752,256/1,186,153,046
  6. Step 6: Final answer
    x = 5,145,445,379.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.