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Finding the Third Proportional to 2,961,001,740 and 4,599,639,507

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Solution

The third proportional to 2,961,001,740 and 4,599,639,507 is: 7,145,110,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,001,740 : 4,599,639,507 = 4,599,639,507 : x
  2. Step 2: Convert to fraction form
    2,961,001,740/4,599,639,507 = 4,599,639,507/x
  3. Step 3: Cross multiply
    2,961,001,740x = 4,599,639,507 × 4,599,639,507
  4. Step 4: Simplify right side
    2,961,001,740x = 21,156,683,594,355,204,096
  5. Step 5: Solve for x
    x = 21,156,683,594,355,204,096/2,961,001,740
  6. Step 6: Final answer
    x = 7,145,110,152.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.