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Finding the Third Proportional to 7,514,586,887 and 14,839,493,641

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Solution

The third proportional to 7,514,586,887 and 14,839,493,641 is: 29,304,414,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514,586,887 : 14,839,493,641 = 14,839,493,641 : x
  2. Step 2: Convert to fraction form
    7,514,586,887/14,839,493,641 = 14,839,493,641/x
  3. Step 3: Cross multiply
    7,514,586,887x = 14,839,493,641 × 14,839,493,641
  4. Step 4: Simplify right side
    7,514,586,887x = 220,210,571,521,279,426,560
  5. Step 5: Solve for x
    x = 220,210,571,521,279,426,560/7,514,586,887
  6. Step 6: Final answer
    x = 29,304,414,844.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.