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Finding the Third Proportional to 457,004,075 and 696,214,097

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Solution

The third proportional to 457,004,075 and 696,214,097 is: 1,060,634,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,004,075 : 696,214,097 = 696,214,097 : x
  2. Step 2: Convert to fraction form
    457,004,075/696,214,097 = 696,214,097/x
  3. Step 3: Cross multiply
    457,004,075x = 696,214,097 × 696,214,097
  4. Step 4: Simplify right side
    457,004,075x = 484,714,068,861,525,440
  5. Step 5: Solve for x
    x = 484,714,068,861,525,440/457,004,075
  6. Step 6: Final answer
    x = 1,060,634,019.21

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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.