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Finding the Third Proportional to 684,001,184 and 1,435,187,008

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Solution

The third proportional to 684,001,184 and 1,435,187,008 is: 3,011,342,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,001,184 : 1,435,187,008 = 1,435,187,008 : x
  2. Step 2: Convert to fraction form
    684,001,184/1,435,187,008 = 1,435,187,008/x
  3. Step 3: Cross multiply
    684,001,184x = 1,435,187,008 × 1,435,187,008
  4. Step 4: Simplify right side
    684,001,184x = 2,059,761,747,931,992,064
  5. Step 5: Solve for x
    x = 2,059,761,747,931,992,064/684,001,184
  6. Step 6: Final answer
    x = 3,011,342,372.08

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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.