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Finding the Third Proportional to 2,395,243,381.50 and 5,242,025,241

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Solution

The third proportional to 2,395,243,381.50 and 5,242,025,241 is: 11,472,249,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395,243,381.50 : 5,242,025,241 = 5,242,025,241 : x
  2. Step 2: Convert to fraction form
    2,395,243,381.50/5,242,025,241 = 5,242,025,241/x
  3. Step 3: Cross multiply
    2,395,243,381.50x = 5,242,025,241 × 5,242,025,241
  4. Step 4: Simplify right side
    2,395,243,381.50x = 27,478,828,627,281,108,992
  5. Step 5: Solve for x
    x = 27,478,828,627,281,108,992/2,395,243,381.50
  6. Step 6: Final answer
    x = 11,472,249,058.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.