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Finding the Third Proportional to 6,557,203,497 and 10,072,666,629

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Solution

The third proportional to 6,557,203,497 and 10,072,666,629 is: 15,472,848,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557,203,497 : 10,072,666,629 = 10,072,666,629 : x
  2. Step 2: Convert to fraction form
    6,557,203,497/10,072,666,629 = 10,072,666,629/x
  3. Step 3: Cross multiply
    6,557,203,497x = 10,072,666,629 × 10,072,666,629
  4. Step 4: Simplify right side
    6,557,203,497x = 101,458,613,018,970,226,688
  5. Step 5: Solve for x
    x = 101,458,613,018,970,226,688/6,557,203,497
  6. Step 6: Final answer
    x = 15,472,848,000.74

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Why These Related Problems?

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