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Finding the Third Proportional to 1,480,295,025 and 3,291,472,458

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Solution

The third proportional to 1,480,295,025 and 3,291,472,458 is: 7,318,670,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,295,025 : 3,291,472,458 = 3,291,472,458 : x
  2. Step 2: Convert to fraction form
    1,480,295,025/3,291,472,458 = 3,291,472,458/x
  3. Step 3: Cross multiply
    1,480,295,025x = 3,291,472,458 × 3,291,472,458
  4. Step 4: Simplify right side
    1,480,295,025x = 10,833,790,941,772,562,432
  5. Step 5: Solve for x
    x = 10,833,790,941,772,562,432/1,480,295,025
  6. Step 6: Final answer
    x = 7,318,670,102.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.