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Finding the Third Proportional to 1,495,890,042 and 2,235,462,741

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Solution

The third proportional to 1,495,890,042 and 2,235,462,741 is: 3,340,682,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495,890,042 : 2,235,462,741 = 2,235,462,741 : x
  2. Step 2: Convert to fraction form
    1,495,890,042/2,235,462,741 = 2,235,462,741/x
  3. Step 3: Cross multiply
    1,495,890,042x = 2,235,462,741 × 2,235,462,741
  4. Step 4: Simplify right side
    1,495,890,042x = 4,997,293,666,399,233,024
  5. Step 5: Solve for x
    x = 4,997,293,666,399,233,024/1,495,890,042
  6. Step 6: Final answer
    x = 3,340,682,487.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.