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Finding the Third Proportional to 486,699,231,334 and 715,469,460,681

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Solution

The third proportional to 486,699,231,334 and 715,469,460,681 is: 1,051,771,846,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,699,231,334 : 715,469,460,681 = 715,469,460,681 : x
  2. Step 2: Convert to fraction form
    486,699,231,334/715,469,460,681 = 715,469,460,681/x
  3. Step 3: Cross multiply
    486,699,231,334x = 715,469,460,681 × 715,469,460,681
  4. Step 4: Simplify right side
    486,699,231,334x = 511,896,549,167,160,981,716,992
  5. Step 5: Solve for x
    x = 511,896,549,167,160,981,716,992/486,699,231,334
  6. Step 6: Final answer
    x = 1,051,771,846,370.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.