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Finding the Third Proportional to 1,783,450,468 and 2,754,697,110

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Solution

The third proportional to 1,783,450,468 and 2,754,697,110 is: 4,254,873,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,450,468 : 2,754,697,110 = 2,754,697,110 : x
  2. Step 2: Convert to fraction form
    1,783,450,468/2,754,697,110 = 2,754,697,110/x
  3. Step 3: Cross multiply
    1,783,450,468x = 2,754,697,110 × 2,754,697,110
  4. Step 4: Simplify right side
    1,783,450,468x = 7,588,356,167,842,352,128
  5. Step 5: Solve for x
    x = 7,588,356,167,842,352,128/1,783,450,468
  6. Step 6: Final answer
    x = 4,254,873,518.50

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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.