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Finding the Third Proportional to 1,493,577,819 and 2,157,776,246.25

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Solution

The third proportional to 1,493,577,819 and 2,157,776,246.25 is: 3,117,345,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493,577,819 : 2,157,776,246.25 = 2,157,776,246.25 : x
  2. Step 2: Convert to fraction form
    1,493,577,819/2,157,776,246.25 = 2,157,776,246.25/x
  3. Step 3: Cross multiply
    1,493,577,819x = 2,157,776,246.25 × 2,157,776,246.25
  4. Step 4: Simplify right side
    1,493,577,819x = 4,655,998,328,880,740,352
  5. Step 5: Solve for x
    x = 4,655,998,328,880,740,352/1,493,577,819
  6. Step 6: Final answer
    x = 3,117,345,657.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.