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Finding the Third Proportional to 34,768,292 and 75,581,992

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Solution

The third proportional to 34,768,292 and 75,581,992 is: 164,305,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,768,292 : 75,581,992 = 75,581,992 : x
  2. Step 2: Convert to fraction form
    34,768,292/75,581,992 = 75,581,992/x
  3. Step 3: Cross multiply
    34,768,292x = 75,581,992 × 75,581,992
  4. Step 4: Simplify right side
    34,768,292x = 5,712,637,514,688,064
  5. Step 5: Solve for x
    x = 5,712,637,514,688,064/34,768,292
  6. Step 6: Final answer
    x = 164,305,957.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.