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Finding the Third Proportional to 1,091,570,029 and 2,374,394,666

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Solution

The third proportional to 1,091,570,029 and 2,374,394,666 is: 5,164,808,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,570,029 : 2,374,394,666 = 2,374,394,666 : x
  2. Step 2: Convert to fraction form
    1,091,570,029/2,374,394,666 = 2,374,394,666/x
  3. Step 3: Cross multiply
    1,091,570,029x = 2,374,394,666 × 2,374,394,666
  4. Step 4: Simplify right side
    1,091,570,029x = 5,637,750,029,929,251,840
  5. Step 5: Solve for x
    x = 5,637,750,029,929,251,840/1,091,570,029
  6. Step 6: Final answer
    x = 5,164,808,377.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.