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Finding the Third Proportional to 684,001,176 and 1,435,186,992

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Solution

The third proportional to 684,001,176 and 1,435,186,992 is: 3,011,342,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,001,176 : 1,435,186,992 = 1,435,186,992 : x
  2. Step 2: Convert to fraction form
    684,001,176/1,435,186,992 = 1,435,186,992/x
  3. Step 3: Cross multiply
    684,001,176x = 1,435,186,992 × 1,435,186,992
  4. Step 4: Simplify right side
    684,001,176x = 2,059,761,702,006,008,064
  5. Step 5: Solve for x
    x = 2,059,761,702,006,008,064/684,001,176
  6. Step 6: Final answer
    x = 3,011,342,340.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.