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Finding the Third Proportional to 2,395,243,374 and 5,242,025,229

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Solution

The third proportional to 2,395,243,374 and 5,242,025,229 is: 11,472,249,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395,243,374 : 5,242,025,229 = 5,242,025,229 : x
  2. Step 2: Convert to fraction form
    2,395,243,374/5,242,025,229 = 5,242,025,229/x
  3. Step 3: Cross multiply
    2,395,243,374x = 5,242,025,229 × 5,242,025,229
  4. Step 4: Simplify right side
    2,395,243,374x = 27,478,828,501,472,501,760
  5. Step 5: Solve for x
    x = 27,478,828,501,472,501,760/2,395,243,374
  6. Step 6: Final answer
    x = 11,472,249,041.48

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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.