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Finding the Third Proportional to 10,833,617,637 and 21,971,851,932

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Solution

The third proportional to 10,833,617,637 and 21,971,851,932 is: 44,561,502,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833,617,637 : 21,971,851,932 = 21,971,851,932 : x
  2. Step 2: Convert to fraction form
    10,833,617,637/21,971,851,932 = 21,971,851,932/x
  3. Step 3: Cross multiply
    10,833,617,637x = 21,971,851,932 × 21,971,851,932
  4. Step 4: Simplify right side
    10,833,617,637x = 482,762,277,321,732,128,768
  5. Step 5: Solve for x
    x = 482,762,277,321,732,128,768/10,833,617,637
  6. Step 6: Final answer
    x = 44,561,502,306.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.