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Finding the Third Proportional to 344,035,215 and 742,841,766

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Solution

The third proportional to 344,035,215 and 742,841,766 is: 1,603,945,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,035,215 : 742,841,766 = 742,841,766 : x
  2. Step 2: Convert to fraction form
    344,035,215/742,841,766 = 742,841,766/x
  3. Step 3: Cross multiply
    344,035,215x = 742,841,766 × 742,841,766
  4. Step 4: Simplify right side
    344,035,215x = 551,813,889,313,998,784
  5. Step 5: Solve for x
    x = 551,813,889,313,998,784/344,035,215
  6. Step 6: Final answer
    x = 1,603,945,948.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.