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Finding the Third Proportional to 6,557,203,509 and 10,072,666,646

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Solution

The third proportional to 6,557,203,509 and 10,072,666,646 is: 15,472,848,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557,203,509 : 10,072,666,646 = 10,072,666,646 : x
  2. Step 2: Convert to fraction form
    6,557,203,509/10,072,666,646 = 10,072,666,646/x
  3. Step 3: Cross multiply
    6,557,203,509x = 10,072,666,646 × 10,072,666,646
  4. Step 4: Simplify right side
    6,557,203,509x = 101,458,613,361,440,882,688
  5. Step 5: Solve for x
    x = 101,458,613,361,440,882,688/6,557,203,509
  6. Step 6: Final answer
    x = 15,472,848,024.65

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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.