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Finding the Third Proportional to 418,940,710.50 and 904,525,822.50

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Solution

The third proportional to 418,940,710.50 and 904,525,822.50 is: 1,952,942,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,940,710.50 : 904,525,822.50 = 904,525,822.50 : x
  2. Step 2: Convert to fraction form
    418,940,710.50/904,525,822.50 = 904,525,822.50/x
  3. Step 3: Cross multiply
    418,940,710.50x = 904,525,822.50 × 904,525,822.50
  4. Step 4: Simplify right side
    418,940,710.50x = 818,166,963,569,301,504
  5. Step 5: Solve for x
    x = 818,166,963,569,301,504/418,940,710.50
  6. Step 6: Final answer
    x = 1,952,942,130.15

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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.