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Finding the Third Proportional to 2,861,638,419 and 4,319,663,848

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Solution

The third proportional to 2,861,638,419 and 4,319,663,848 is: 6,520,563,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861,638,419 : 4,319,663,848 = 4,319,663,848 : x
  2. Step 2: Convert to fraction form
    2,861,638,419/4,319,663,848 = 4,319,663,848/x
  3. Step 3: Cross multiply
    2,861,638,419x = 4,319,663,848 × 4,319,663,848
  4. Step 4: Simplify right side
    2,861,638,419x = 18,659,495,759,718,166,528
  5. Step 5: Solve for x
    x = 18,659,495,759,718,166,528/2,861,638,419
  6. Step 6: Final answer
    x = 6,520,563,756.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.