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Finding the Third Proportional to 1,675,705,188 and 3,525,063,976

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Solution

The third proportional to 1,675,705,188 and 3,525,063,976 is: 7,415,430,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675,705,188 : 3,525,063,976 = 3,525,063,976 : x
  2. Step 2: Convert to fraction form
    1,675,705,188/3,525,063,976 = 3,525,063,976/x
  3. Step 3: Cross multiply
    1,675,705,188x = 3,525,063,976 × 3,525,063,976
  4. Step 4: Simplify right side
    1,675,705,188x = 12,426,076,034,892,929,024
  5. Step 5: Solve for x
    x = 12,426,076,034,892,929,024/1,675,705,188
  6. Step 6: Final answer
    x = 7,415,430,902.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.