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Finding the Third Proportional to 6,557,203,507 and 10,072,666,643

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Solution

The third proportional to 6,557,203,507 and 10,072,666,643 is: 15,472,848,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557,203,507 : 10,072,666,643 = 10,072,666,643 : x
  2. Step 2: Convert to fraction form
    6,557,203,507/10,072,666,643 = 10,072,666,643/x
  3. Step 3: Cross multiply
    6,557,203,507x = 10,072,666,643 × 10,072,666,643
  4. Step 4: Simplify right side
    6,557,203,507x = 101,458,613,301,004,894,208
  5. Step 5: Solve for x
    x = 101,458,613,301,004,894,208/6,557,203,507
  6. Step 6: Final answer
    x = 15,472,848,020.15

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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.