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Finding the Third Proportional to 242,670,699 and 519,353,622

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Solution

The third proportional to 242,670,699 and 519,353,622 is: 1,111,498,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,670,699 : 519,353,622 = 519,353,622 : x
  2. Step 2: Convert to fraction form
    242,670,699/519,353,622 = 519,353,622/x
  3. Step 3: Cross multiply
    242,670,699x = 519,353,622 × 519,353,622
  4. Step 4: Simplify right side
    242,670,699x = 269,728,184,684,518,880
  5. Step 5: Solve for x
    x = 269,728,184,684,518,880/242,670,699
  6. Step 6: Final answer
    x = 1,111,498,775.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.