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Finding the Third Proportional to 1,656,302,328 and 3,545,272,296

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Solution

The third proportional to 1,656,302,328 and 3,545,272,296 is: 7,588,563,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,302,328 : 3,545,272,296 = 3,545,272,296 : x
  2. Step 2: Convert to fraction form
    1,656,302,328/3,545,272,296 = 3,545,272,296/x
  3. Step 3: Cross multiply
    1,656,302,328x = 3,545,272,296 × 3,545,272,296
  4. Step 4: Simplify right side
    1,656,302,328x = 12,568,955,652,785,111,040
  5. Step 5: Solve for x
    x = 12,568,955,652,785,111,040/1,656,302,328
  6. Step 6: Final answer
    x = 7,588,563,657.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.