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Finding the Third Proportional to 447,942,132 and 931,641,705

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Solution

The third proportional to 447,942,132 and 931,641,705 is: 1,937,652,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,942,132 : 931,641,705 = 931,641,705 : x
  2. Step 2: Convert to fraction form
    447,942,132/931,641,705 = 931,641,705/x
  3. Step 3: Cross multiply
    447,942,132x = 931,641,705 × 931,641,705
  4. Step 4: Simplify right side
    447,942,132x = 867,956,266,495,307,008
  5. Step 5: Solve for x
    x = 867,956,266,495,307,008/447,942,132
  6. Step 6: Final answer
    x = 1,937,652,666.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.