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Finding the Third Proportional to 252,529,444,400 and 549,514,243,744

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Solution

The third proportional to 252,529,444,400 and 549,514,243,744 is: 1,195,765,130,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,529,444,400 : 549,514,243,744 = 549,514,243,744 : x
  2. Step 2: Convert to fraction form
    252,529,444,400/549,514,243,744 = 549,514,243,744/x
  3. Step 3: Cross multiply
    252,529,444,400x = 549,514,243,744 × 549,514,243,744
  4. Step 4: Simplify right side
    252,529,444,400x = 301,965,904,077,540,248,518,656
  5. Step 5: Solve for x
    x = 301,965,904,077,540,248,518,656/252,529,444,400
  6. Step 6: Final answer
    x = 1,195,765,130,656.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.