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Finding the Third Proportional to 115,648,827,605 and 253,638,305,539

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Solution

The third proportional to 115,648,827,605 and 253,638,305,539 is: 556,273,603,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,648,827,605 : 253,638,305,539 = 253,638,305,539 : x
  2. Step 2: Convert to fraction form
    115,648,827,605/253,638,305,539 = 253,638,305,539/x
  3. Step 3: Cross multiply
    115,648,827,605x = 253,638,305,539 × 253,638,305,539
  4. Step 4: Simplify right side
    115,648,827,605x = 64,332,390,036,695,116,939,264
  5. Step 5: Solve for x
    x = 64,332,390,036,695,116,939,264/115,648,827,605
  6. Step 6: Final answer
    x = 556,273,603,191.41

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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.