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Finding the Third Proportional to 8,692,024,761 and 18,828,050,366.25

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Solution

The third proportional to 8,692,024,761 and 18,828,050,366.25 is: 40,783,993,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692,024,761 : 18,828,050,366.25 = 18,828,050,366.25 : x
  2. Step 2: Convert to fraction form
    8,692,024,761/18,828,050,366.25 = 18,828,050,366.25/x
  3. Step 3: Cross multiply
    8,692,024,761x = 18,828,050,366.25 × 18,828,050,366.25
  4. Step 4: Simplify right side
    8,692,024,761x = 354,495,480,594,046,779,392
  5. Step 5: Solve for x
    x = 354,495,480,594,046,779,392/8,692,024,761
  6. Step 6: Final answer
    x = 40,783,993,412.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.