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Finding the Third Proportional to 346,841,017.88 and 472,418,709.75

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Solution

The third proportional to 346,841,017.88 and 472,418,709.75 is: 643,463,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,841,017.88 : 472,418,709.75 = 472,418,709.75 : x
  2. Step 2: Convert to fraction form
    346,841,017.88/472,418,709.75 = 472,418,709.75/x
  3. Step 3: Cross multiply
    346,841,017.88x = 472,418,709.75 × 472,418,709.75
  4. Step 4: Simplify right side
    346,841,017.88x = 223,179,437,321,854,752
  5. Step 5: Solve for x
    x = 223,179,437,321,854,752/346,841,017.88
  6. Step 6: Final answer
    x = 643,463,217.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.