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Finding the Third Proportional to 252,529,450,186 and 549,514,255,460

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Solution

The third proportional to 252,529,450,186 and 549,514,255,460 is: 1,195,765,154,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,529,450,186 : 549,514,255,460 = 549,514,255,460 : x
  2. Step 2: Convert to fraction form
    252,529,450,186/549,514,255,460 = 549,514,255,460/x
  3. Step 3: Cross multiply
    252,529,450,186x = 549,514,255,460 × 549,514,255,460
  4. Step 4: Simplify right side
    252,529,450,186x = 301,965,916,953,758,148,853,760
  5. Step 5: Solve for x
    x = 301,965,916,953,758,148,853,760/252,529,450,186
  6. Step 6: Final answer
    x = 1,195,765,154,247.74

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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.