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Finding the Third Proportional to 7,676,666,700 and 11,794,349,943

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Solution

The third proportional to 7,676,666,700 and 11,794,349,943 is: 18,120,715,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,666,700 : 11,794,349,943 = 11,794,349,943 : x
  2. Step 2: Convert to fraction form
    7,676,666,700/11,794,349,943 = 11,794,349,943/x
  3. Step 3: Cross multiply
    7,676,666,700x = 11,794,349,943 × 11,794,349,943
  4. Step 4: Simplify right side
    7,676,666,700x = 139,106,690,577,944,100,864
  5. Step 5: Solve for x
    x = 139,106,690,577,944,100,864/7,676,666,700
  6. Step 6: Final answer
    x = 18,120,715,150.75

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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.