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Finding the Third Proportional to 863,686,046 and 1,864,993,036

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Solution

The third proportional to 863,686,046 and 1,864,993,036 is: 4,027,156,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,686,046 : 1,864,993,036 = 1,864,993,036 : x
  2. Step 2: Convert to fraction form
    863,686,046/1,864,993,036 = 1,864,993,036/x
  3. Step 3: Cross multiply
    863,686,046x = 1,864,993,036 × 1,864,993,036
  4. Step 4: Simplify right side
    863,686,046x = 3,478,199,024,328,497,152
  5. Step 5: Solve for x
    x = 3,478,199,024,328,497,152/863,686,046
  6. Step 6: Final answer
    x = 4,027,156,673.93

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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.