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Finding the Third Proportional to 763,987,305 and 1,636,886,859

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Solution

The third proportional to 763,987,305 and 1,636,886,859 is: 3,507,124,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,987,305 : 1,636,886,859 = 1,636,886,859 : x
  2. Step 2: Convert to fraction form
    763,987,305/1,636,886,859 = 1,636,886,859/x
  3. Step 3: Cross multiply
    763,987,305x = 1,636,886,859 × 1,636,886,859
  4. Step 4: Simplify right side
    763,987,305x = 2,679,398,589,166,885,888
  5. Step 5: Solve for x
    x = 2,679,398,589,166,885,888/763,987,305
  6. Step 6: Final answer
    x = 3,507,124,492.29

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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.