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Finding the Third Proportional to 1,874,232,636 and 2,742,356,898

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Solution

The third proportional to 1,874,232,636 and 2,742,356,898 is: 4,012,586,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874,232,636 : 2,742,356,898 = 2,742,356,898 : x
  2. Step 2: Convert to fraction form
    1,874,232,636/2,742,356,898 = 2,742,356,898/x
  3. Step 3: Cross multiply
    1,874,232,636x = 2,742,356,898 × 2,742,356,898
  4. Step 4: Simplify right side
    1,874,232,636x = 7,520,521,356,008,182,784
  5. Step 5: Solve for x
    x = 7,520,521,356,008,182,784/1,874,232,636
  6. Step 6: Final answer
    x = 4,012,586,917.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.