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Finding the Third Proportional to 1,495,425,174 and 3,272,306,988

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Solution

The third proportional to 1,495,425,174 and 3,272,306,988 is: 7,160,500,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495,425,174 : 3,272,306,988 = 3,272,306,988 : x
  2. Step 2: Convert to fraction form
    1,495,425,174/3,272,306,988 = 3,272,306,988/x
  3. Step 3: Cross multiply
    1,495,425,174x = 3,272,306,988 × 3,272,306,988
  4. Step 4: Simplify right side
    1,495,425,174x = 10,707,993,023,713,632,256
  5. Step 5: Solve for x
    x = 10,707,993,023,713,632,256/1,495,425,174
  6. Step 6: Final answer
    x = 7,160,500,712.36

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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.