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Finding the Third Proportional to 1,088,936,100 and 1,673,772,822

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Solution

The third proportional to 1,088,936,100 and 1,673,772,822 is: 2,572,708,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088,936,100 : 1,673,772,822 = 1,673,772,822 : x
  2. Step 2: Convert to fraction form
    1,088,936,100/1,673,772,822 = 1,673,772,822/x
  3. Step 3: Cross multiply
    1,088,936,100x = 1,673,772,822 × 1,673,772,822
  4. Step 4: Simplify right side
    1,088,936,100x = 2,801,515,459,665,843,712
  5. Step 5: Solve for x
    x = 2,801,515,459,665,843,712/1,088,936,100
  6. Step 6: Final answer
    x = 2,572,708,774.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.