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Finding the Third Proportional to 2,290,411,926,909 and 4,982,951,823,776.80

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Solution

The third proportional to 2,290,411,926,909 and 4,982,951,823,776.80 is: 10,840,761,256,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290,411,926,909 : 4,982,951,823,776.80 = 4,982,951,823,776.80 : x
  2. Step 2: Convert to fraction form
    2,290,411,926,909/4,982,951,823,776.80 = 4,982,951,823,776.80/x
  3. Step 3: Cross multiply
    2,290,411,926,909x = 4,982,951,823,776.80 × 4,982,951,823,776.80
  4. Step 4: Simplify right side
    2,290,411,926,909x = 24,829,808,878,080,537,204,359,168
  5. Step 5: Solve for x
    x = 24,829,808,878,080,537,204,359,168/2,290,411,926,909
  6. Step 6: Final answer
    x = 10,840,761,256,246.74

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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.