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Finding the Third Proportional to 2,861,638,416 and 4,319,663,843.25

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Solution

The third proportional to 2,861,638,416 and 4,319,663,843.25 is: 6,520,563,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861,638,416 : 4,319,663,843.25 = 4,319,663,843.25 : x
  2. Step 2: Convert to fraction form
    2,861,638,416/4,319,663,843.25 = 4,319,663,843.25/x
  3. Step 3: Cross multiply
    2,861,638,416x = 4,319,663,843.25 × 4,319,663,843.25
  4. Step 4: Simplify right side
    2,861,638,416x = 18,659,495,718,681,362,432
  5. Step 5: Solve for x
    x = 18,659,495,718,681,362,432/2,861,638,416
  6. Step 6: Final answer
    x = 6,520,563,749.20

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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.