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Finding the Third Proportional to 252,529,444,412 and 549,514,243,768

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Solution

The third proportional to 252,529,444,412 and 549,514,243,768 is: 1,195,765,130,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,529,444,412 : 549,514,243,768 = 549,514,243,768 : x
  2. Step 2: Convert to fraction form
    252,529,444,412/549,514,243,768 = 549,514,243,768/x
  3. Step 3: Cross multiply
    252,529,444,412x = 549,514,243,768 × 549,514,243,768
  4. Step 4: Simplify right side
    252,529,444,412x = 301,965,904,103,916,917,751,808
  5. Step 5: Solve for x
    x = 301,965,904,103,916,917,751,808/252,529,444,412
  6. Step 6: Final answer
    x = 1,195,765,130,703.97

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Why These Related Problems?

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