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Finding the Third Proportional to 2,909,323,440 and 4,436,621,988

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Solution

The third proportional to 2,909,323,440 and 4,436,621,988 is: 6,765,701,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,323,440 : 4,436,621,988 = 4,436,621,988 : x
  2. Step 2: Convert to fraction form
    2,909,323,440/4,436,621,988 = 4,436,621,988/x
  3. Step 3: Cross multiply
    2,909,323,440x = 4,436,621,988 × 4,436,621,988
  4. Step 4: Simplify right side
    2,909,323,440x = 19,683,614,664,405,073,920
  5. Step 5: Solve for x
    x = 19,683,614,664,405,073,920/2,909,323,440
  6. Step 6: Final answer
    x = 6,765,701,741.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.