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Finding the Third Proportional to 3,191,360,342.34 and 6,983,903,017.27

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Solution

The third proportional to 3,191,360,342.34 and 6,983,903,017.27 is: 15,283,420,272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191,360,342.34 : 6,983,903,017.27 = 6,983,903,017.27 : x
  2. Step 2: Convert to fraction form
    3,191,360,342.34/6,983,903,017.27 = 6,983,903,017.27/x
  3. Step 3: Cross multiply
    3,191,360,342.34x = 6,983,903,017.27 × 6,983,903,017.27
  4. Step 4: Simplify right side
    3,191,360,342.34x = 48,774,901,354,570,153,984
  5. Step 5: Solve for x
    x = 48,774,901,354,570,153,984/3,191,360,342.34
  6. Step 6: Final answer
    x = 15,283,420,272.98

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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.