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Finding the Third Proportional to 742,888,536 and 1,116,204,804

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Solution

The third proportional to 742,888,536 and 1,116,204,804 is: 1,677,119,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,888,536 : 1,116,204,804 = 1,116,204,804 : x
  2. Step 2: Convert to fraction form
    742,888,536/1,116,204,804 = 1,116,204,804/x
  3. Step 3: Cross multiply
    742,888,536x = 1,116,204,804 × 1,116,204,804
  4. Step 4: Simplify right side
    742,888,536x = 1,245,913,164,472,678,400
  5. Step 5: Solve for x
    x = 1,245,913,164,472,678,400/742,888,536
  6. Step 6: Final answer
    x = 1,677,119,923.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.