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Finding the Third Proportional to 2,285,047,635 and 3,157,416,730

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Solution

The third proportional to 2,285,047,635 and 3,157,416,730 is: 4,362,832,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,047,635 : 3,157,416,730 = 3,157,416,730 : x
  2. Step 2: Convert to fraction form
    2,285,047,635/3,157,416,730 = 3,157,416,730/x
  3. Step 3: Cross multiply
    2,285,047,635x = 3,157,416,730 × 3,157,416,730
  4. Step 4: Simplify right side
    2,285,047,635x = 9,969,280,406,883,893,248
  5. Step 5: Solve for x
    x = 9,969,280,406,883,893,248/2,285,047,635
  6. Step 6: Final answer
    x = 4,362,832,640.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.