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Finding the Third Proportional to 53,319,260,997 and 114,662,887,428

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Solution

The third proportional to 53,319,260,997 and 114,662,887,428 is: 246,582,145,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,319,260,997 : 114,662,887,428 = 114,662,887,428 : x
  2. Step 2: Convert to fraction form
    53,319,260,997/114,662,887,428 = 114,662,887,428/x
  3. Step 3: Cross multiply
    53,319,260,997x = 114,662,887,428 × 114,662,887,428
  4. Step 4: Simplify right side
    53,319,260,997x = 13,147,577,753,326,200,029,184
  5. Step 5: Solve for x
    x = 13,147,577,753,326,200,029,184/53,319,260,997
  6. Step 6: Final answer
    x = 246,582,145,128.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.