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Finding the Third Proportional to 3,189,938,720,499 and 6,863,690,552,118

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Solution

The third proportional to 3,189,938,720,499 and 6,863,690,552,118 is: 14,768,386,518,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189,938,720,499 : 6,863,690,552,118 = 6,863,690,552,118 : x
  2. Step 2: Convert to fraction form
    3,189,938,720,499/6,863,690,552,118 = 6,863,690,552,118/x
  3. Step 3: Cross multiply
    3,189,938,720,499x = 6,863,690,552,118 × 6,863,690,552,118
  4. Step 4: Simplify right side
    3,189,938,720,499x = 47,110,247,995,233,898,940,334,080
  5. Step 5: Solve for x
    x = 47,110,247,995,233,898,940,334,080/3,189,938,720,499
  6. Step 6: Final answer
    x = 14,768,386,518,680.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.