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Finding the Third Proportional to 684,034,680 and 1,520,707,056

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Solution

The third proportional to 684,034,680 and 1,520,707,056 is: 3,380,749,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,034,680 : 1,520,707,056 = 1,520,707,056 : x
  2. Step 2: Convert to fraction form
    684,034,680/1,520,707,056 = 1,520,707,056/x
  3. Step 3: Cross multiply
    684,034,680x = 1,520,707,056 × 1,520,707,056
  4. Step 4: Simplify right side
    684,034,680x = 2,312,549,950,168,186,880
  5. Step 5: Solve for x
    x = 2,312,549,950,168,186,880/684,034,680
  6. Step 6: Final answer
    x = 3,380,749,569.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.