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Finding the Third Proportional to 418,940,683.45 and 904,525,772.34

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Solution

The third proportional to 418,940,683.45 and 904,525,772.34 is: 1,952,942,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,940,683.45 : 904,525,772.34 = 904,525,772.34 : x
  2. Step 2: Convert to fraction form
    418,940,683.45/904,525,772.34 = 904,525,772.34/x
  3. Step 3: Cross multiply
    418,940,683.45x = 904,525,772.34 × 904,525,772.34
  4. Step 4: Simplify right side
    418,940,683.45x = 818,166,872,834,057,472
  5. Step 5: Solve for x
    x = 818,166,872,834,057,472/418,940,683.45
  6. Step 6: Final answer
    x = 1,952,942,039.65

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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.