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Finding the Third Proportional to 763,987,314 and 1,636,886,880

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Solution

The third proportional to 763,987,314 and 1,636,886,880 is: 3,507,124,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,987,314 : 1,636,886,880 = 1,636,886,880 : x
  2. Step 2: Convert to fraction form
    763,987,314/1,636,886,880 = 1,636,886,880/x
  3. Step 3: Cross multiply
    763,987,314x = 1,636,886,880 × 1,636,886,880
  4. Step 4: Simplify right side
    763,987,314x = 2,679,398,657,916,134,400
  5. Step 5: Solve for x
    x = 2,679,398,657,916,134,400/763,987,314
  6. Step 6: Final answer
    x = 3,507,124,540.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.