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Finding the Third Proportional to 75,465,313,352 and 161,531,709,712

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Solution

The third proportional to 75,465,313,352 and 161,531,709,712 is: 345,754,785,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,465,313,352 : 161,531,709,712 = 161,531,709,712 : x
  2. Step 2: Convert to fraction form
    75,465,313,352/161,531,709,712 = 161,531,709,712/x
  3. Step 3: Cross multiply
    75,465,313,352x = 161,531,709,712 × 161,531,709,712
  4. Step 4: Simplify right side
    75,465,313,352x = 26,092,493,242,481,833,410,560
  5. Step 5: Solve for x
    x = 26,092,493,242,481,833,410,560/75,465,313,352
  6. Step 6: Final answer
    x = 345,754,785,655.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.