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Finding the Third Proportional to 332,712,819 and 741,927,114

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Solution

The third proportional to 332,712,819 and 741,927,114 is: 1,654,447,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,712,819 : 741,927,114 = 741,927,114 : x
  2. Step 2: Convert to fraction form
    332,712,819/741,927,114 = 741,927,114/x
  3. Step 3: Cross multiply
    332,712,819x = 741,927,114 × 741,927,114
  4. Step 4: Simplify right side
    332,712,819x = 550,455,842,488,369,024
  5. Step 5: Solve for x
    x = 550,455,842,488,369,024/332,712,819
  6. Step 6: Final answer
    x = 1,654,447,352.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.