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Finding the Third Proportional to 1,778,716,986 and 3,863,630,088

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Solution

The third proportional to 1,778,716,986 and 3,863,630,088 is: 8,392,362,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,716,986 : 3,863,630,088 = 3,863,630,088 : x
  2. Step 2: Convert to fraction form
    1,778,716,986/3,863,630,088 = 3,863,630,088/x
  3. Step 3: Cross multiply
    1,778,716,986x = 3,863,630,088 × 3,863,630,088
  4. Step 4: Simplify right side
    1,778,716,986x = 14,927,637,456,898,887,680
  5. Step 5: Solve for x
    x = 14,927,637,456,898,887,680/1,778,716,986
  6. Step 6: Final answer
    x = 8,392,362,345.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.