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Finding the Third Proportional to 21,489,071,256 and 46,243,316,016

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Solution

The third proportional to 21,489,071,256 and 46,243,316,016 is: 99,513,108,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489,071,256 : 46,243,316,016 = 46,243,316,016 : x
  2. Step 2: Convert to fraction form
    21,489,071,256/46,243,316,016 = 46,243,316,016/x
  3. Step 3: Cross multiply
    21,489,071,256x = 46,243,316,016 × 46,243,316,016
  4. Step 4: Simplify right side
    21,489,071,256x = 2,138,444,276,155,642,019,840
  5. Step 5: Solve for x
    x = 2,138,444,276,155,642,019,840/21,489,071,256
  6. Step 6: Final answer
    x = 99,513,108,346.11

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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.