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Finding the Third Proportional to 763,987,252 and 1,636,886,753

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Solution

The third proportional to 763,987,252 and 1,636,886,753 is: 3,507,124,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,987,252 : 1,636,886,753 = 1,636,886,753 : x
  2. Step 2: Convert to fraction form
    763,987,252/1,636,886,753 = 1,636,886,753/x
  3. Step 3: Cross multiply
    763,987,252x = 1,636,886,753 × 1,636,886,753
  4. Step 4: Simplify right side
    763,987,252x = 2,679,398,242,146,883,072
  5. Step 5: Solve for x
    x = 2,679,398,242,146,883,072/763,987,252
  6. Step 6: Final answer
    x = 3,507,124,281.37

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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.