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Finding the Third Proportional to 486,699,231,335 and 715,469,460,682.50

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Solution

The third proportional to 486,699,231,335 and 715,469,460,682.50 is: 1,051,771,846,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,699,231,335 : 715,469,460,682.50 = 715,469,460,682.50 : x
  2. Step 2: Convert to fraction form
    486,699,231,335/715,469,460,682.50 = 715,469,460,682.50/x
  3. Step 3: Cross multiply
    486,699,231,335x = 715,469,460,682.50 × 715,469,460,682.50
  4. Step 4: Simplify right side
    486,699,231,335x = 511,896,549,169,307,391,623,168
  5. Step 5: Solve for x
    x = 511,896,549,169,307,391,623,168/486,699,231,335
  6. Step 6: Final answer
    x = 1,051,771,846,372.54

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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.