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Finding the Third Proportional to 447,942,152 and 931,641,748

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Solution

The third proportional to 447,942,152 and 931,641,748 is: 1,937,652,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,942,152 : 931,641,748 = 931,641,748 : x
  2. Step 2: Convert to fraction form
    447,942,152/931,641,748 = 931,641,748/x
  3. Step 3: Cross multiply
    447,942,152x = 931,641,748 × 931,641,748
  4. Step 4: Simplify right side
    447,942,152x = 867,956,346,616,495,488
  5. Step 5: Solve for x
    x = 867,956,346,616,495,488/447,942,152
  6. Step 6: Final answer
    x = 1,937,652,758.82

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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.