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Finding the Third Proportional to 8,077,034,983 and 12,407,314,677

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Solution

The third proportional to 8,077,034,983 and 12,407,314,677 is: 19,059,154,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077,034,983 : 12,407,314,677 = 12,407,314,677 : x
  2. Step 2: Convert to fraction form
    8,077,034,983/12,407,314,677 = 12,407,314,677/x
  3. Step 3: Cross multiply
    8,077,034,983x = 12,407,314,677 × 12,407,314,677
  4. Step 4: Simplify right side
    8,077,034,983x = 153,941,457,494,099,623,936
  5. Step 5: Solve for x
    x = 153,941,457,494,099,623,936/8,077,034,983
  6. Step 6: Final answer
    x = 19,059,154,481.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.