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Finding the Third Proportional to 61,086,930 and 85,448,653.50

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Solution

The third proportional to 61,086,930 and 85,448,653.50 is: 119,525,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,086,930 : 85,448,653.50 = 85,448,653.50 : x
  2. Step 2: Convert to fraction form
    61,086,930/85,448,653.50 = 85,448,653.50/x
  3. Step 3: Cross multiply
    61,086,930x = 85,448,653.50 × 85,448,653.50
  4. Step 4: Simplify right side
    61,086,930x = 7,301,472,384,963,062
  5. Step 5: Solve for x
    x = 7,301,472,384,963,062/61,086,930
  6. Step 6: Final answer
    x = 119,525,934.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.