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Finding the Third Proportional to 7,676,666,663 and 11,794,349,888

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Solution

The third proportional to 7,676,666,663 and 11,794,349,888 is: 18,120,715,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,666,663 : 11,794,349,888 = 11,794,349,888 : x
  2. Step 2: Convert to fraction form
    7,676,666,663/11,794,349,888 = 11,794,349,888/x
  3. Step 3: Cross multiply
    7,676,666,663x = 11,794,349,888 × 11,794,349,888
  4. Step 4: Simplify right side
    7,676,666,663x = 139,106,689,280,565,608,448
  5. Step 5: Solve for x
    x = 139,106,689,280,565,608,448/7,676,666,663
  6. Step 6: Final answer
    x = 18,120,715,069.08

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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.