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Finding the Third Proportional to 1,614,700,128 and 3,535,090,176

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Solution

The third proportional to 1,614,700,128 and 3,535,090,176 is: 7,739,432,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,700,128 : 3,535,090,176 = 3,535,090,176 : x
  2. Step 2: Convert to fraction form
    1,614,700,128/3,535,090,176 = 3,535,090,176/x
  3. Step 3: Cross multiply
    1,614,700,128x = 3,535,090,176 × 3,535,090,176
  4. Step 4: Simplify right side
    1,614,700,128x = 12,496,862,552,451,710,976
  5. Step 5: Solve for x
    x = 12,496,862,552,451,710,976/1,614,700,128
  6. Step 6: Final answer
    x = 7,739,432,440.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.