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Finding the Third Proportional to 2,005,484,443,411 and 4,404,952,066,298

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Solution

The third proportional to 2,005,484,443,411 and 4,404,952,066,298 is: 9,675,269,618,836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,484,443,411 : 4,404,952,066,298 = 4,404,952,066,298 : x
  2. Step 2: Convert to fraction form
    2,005,484,443,411/4,404,952,066,298 = 4,404,952,066,298/x
  3. Step 3: Cross multiply
    2,005,484,443,411x = 4,404,952,066,298 × 4,404,952,066,298
  4. Step 4: Simplify right side
    2,005,484,443,411x = 19,403,602,706,383,018,917,888,000
  5. Step 5: Solve for x
    x = 19,403,602,706,383,018,917,888,000/2,005,484,443,411
  6. Step 6: Final answer
    x = 9,675,269,618,836.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.