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Finding the Third Proportional to 9,954,753,762 and 21,329,417,160

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Solution

The third proportional to 9,954,753,762 and 21,329,417,160 is: 45,701,184,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954,753,762 : 21,329,417,160 = 21,329,417,160 : x
  2. Step 2: Convert to fraction form
    9,954,753,762/21,329,417,160 = 21,329,417,160/x
  3. Step 3: Cross multiply
    9,954,753,762x = 21,329,417,160 × 21,329,417,160
  4. Step 4: Simplify right side
    9,954,753,762x = 454,944,036,385,302,446,080
  5. Step 5: Solve for x
    x = 454,944,036,385,302,446,080/9,954,753,762
  6. Step 6: Final answer
    x = 45,701,184,304.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.