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Finding the Third Proportional to 252,529,450,184 and 549,514,255,456

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Solution

The third proportional to 252,529,450,184 and 549,514,255,456 is: 1,195,765,154,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,529,450,184 : 549,514,255,456 = 549,514,255,456 : x
  2. Step 2: Convert to fraction form
    252,529,450,184/549,514,255,456 = 549,514,255,456/x
  3. Step 3: Cross multiply
    252,529,450,184x = 549,514,255,456 × 549,514,255,456
  4. Step 4: Simplify right side
    252,529,450,184x = 301,965,916,949,362,014,945,280
  5. Step 5: Solve for x
    x = 301,965,916,949,362,014,945,280/252,529,450,184
  6. Step 6: Final answer
    x = 1,195,765,154,239.80

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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.