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Finding the Third Proportional to 567,502,042 and 855,312,216

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Solution

The third proportional to 567,502,042 and 855,312,216 is: 1,289,086,087.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,502,042 : 855,312,216 = 855,312,216 : x
  2. Step 2: Convert to fraction form
    567,502,042/855,312,216 = 855,312,216/x
  3. Step 3: Cross multiply
    567,502,042x = 855,312,216 × 855,312,216
  4. Step 4: Simplify right side
    567,502,042x = 731,558,986,838,830,592
  5. Step 5: Solve for x
    x = 731,558,986,838,830,592/567,502,042
  6. Step 6: Final answer
    x = 1,289,086,087.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.