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Finding the Third Proportional to 53,319,260,971 and 114,662,887,382

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Solution

The third proportional to 53,319,260,971 and 114,662,887,382 is: 246,582,145,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,319,260,971 : 114,662,887,382 = 114,662,887,382 : x
  2. Step 2: Convert to fraction form
    53,319,260,971/114,662,887,382 = 114,662,887,382/x
  3. Step 3: Cross multiply
    53,319,260,971x = 114,662,887,382 × 114,662,887,382
  4. Step 4: Simplify right side
    53,319,260,971x = 13,147,577,742,777,215,090,688
  5. Step 5: Solve for x
    x = 13,147,577,742,777,215,090,688/53,319,260,971
  6. Step 6: Final answer
    x = 246,582,145,051.26

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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.