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Finding the Third Proportional to 1,837,582,351 and 2,824,496,050.50

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Solution

The third proportional to 1,837,582,351 and 2,824,496,050.50 is: 4,341,453,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,582,351 : 2,824,496,050.50 = 2,824,496,050.50 : x
  2. Step 2: Convert to fraction form
    1,837,582,351/2,824,496,050.50 = 2,824,496,050.50/x
  3. Step 3: Cross multiply
    1,837,582,351x = 2,824,496,050.50 × 2,824,496,050.50
  4. Step 4: Simplify right side
    1,837,582,351x = 7,977,777,939,290,098,688
  5. Step 5: Solve for x
    x = 7,977,777,939,290,098,688/1,837,582,351
  6. Step 6: Final answer
    x = 4,341,453,287.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.