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Finding the Third Proportional to 755,074,980 and 1,779,921,661.50

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Solution

The third proportional to 755,074,980 and 1,779,921,661.50 is: 4,195,770,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,074,980 : 1,779,921,661.50 = 1,779,921,661.50 : x
  2. Step 2: Convert to fraction form
    755,074,980/1,779,921,661.50 = 1,779,921,661.50/x
  3. Step 3: Cross multiply
    755,074,980x = 1,779,921,661.50 × 1,779,921,661.50
  4. Step 4: Simplify right side
    755,074,980x = 3,168,121,121,076,920,832
  5. Step 5: Solve for x
    x = 3,168,121,121,076,920,832/755,074,980
  6. Step 6: Final answer
    x = 4,195,770,228.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.