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Finding the Third Proportional to 2,495,434,014 and 5,406,983,118

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Solution

The third proportional to 2,495,434,014 and 5,406,983,118 is: 11,715,583,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495,434,014 : 5,406,983,118 = 5,406,983,118 : x
  2. Step 2: Convert to fraction form
    2,495,434,014/5,406,983,118 = 5,406,983,118/x
  3. Step 3: Cross multiply
    2,495,434,014x = 5,406,983,118 × 5,406,983,118
  4. Step 4: Simplify right side
    2,495,434,014x = 29,235,466,438,337,003,520
  5. Step 5: Solve for x
    x = 29,235,466,438,337,003,520/2,495,434,014
  6. Step 6: Final answer
    x = 11,715,583,852.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.