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Finding the Third Proportional to 245,825,925 and 536,689,014

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Solution

The third proportional to 245,825,925 and 536,689,014 is: 1,171,703,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,825,925 : 536,689,014 = 536,689,014 : x
  2. Step 2: Convert to fraction form
    245,825,925/536,689,014 = 536,689,014/x
  3. Step 3: Cross multiply
    245,825,925x = 536,689,014 × 536,689,014
  4. Step 4: Simplify right side
    245,825,925x = 288,035,097,748,292,192
  5. Step 5: Solve for x
    x = 288,035,097,748,292,192/245,825,925
  6. Step 6: Final answer
    x = 1,171,703,504.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.