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Finding the Third Proportional to 682,302,406.50 and 975,026,044.13

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Solution

The third proportional to 682,302,406.50 and 975,026,044.13 is: 1,393,334,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,302,406.50 : 975,026,044.13 = 975,026,044.13 : x
  2. Step 2: Convert to fraction form
    682,302,406.50/975,026,044.13 = 975,026,044.13/x
  3. Step 3: Cross multiply
    682,302,406.50x = 975,026,044.13 × 975,026,044.13
  4. Step 4: Simplify right side
    682,302,406.50x = 950,675,786,722,046,464
  5. Step 5: Solve for x
    x = 950,675,786,722,046,464/682,302,406.50
  6. Step 6: Final answer
    x = 1,393,334,946.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.