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Finding the Third Proportional to 5,235,663,058.31 and 7,346,671,716.38

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Solution

The third proportional to 5,235,663,058.31 and 7,346,671,716.38 is: 10,308,834,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235,663,058.31 : 7,346,671,716.38 = 7,346,671,716.38 : x
  2. Step 2: Convert to fraction form
    5,235,663,058.31/7,346,671,716.38 = 7,346,671,716.38/x
  3. Step 3: Cross multiply
    5,235,663,058.31x = 7,346,671,716.38 × 7,346,671,716.38
  4. Step 4: Simplify right side
    5,235,663,058.31x = 53,973,585,308,184,387,584
  5. Step 5: Solve for x
    x = 53,973,585,308,184,387,584/5,235,663,058.31
  6. Step 6: Final answer
    x = 10,308,834,756.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.