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Finding the Third Proportional to 466,462,356 and 1,079,888,946

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Solution

The third proportional to 466,462,356 and 1,079,888,946 is: 2,500,009,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,462,356 : 1,079,888,946 = 1,079,888,946 : x
  2. Step 2: Convert to fraction form
    466,462,356/1,079,888,946 = 1,079,888,946/x
  3. Step 3: Cross multiply
    466,462,356x = 1,079,888,946 × 1,079,888,946
  4. Step 4: Simplify right side
    466,462,356x = 1,166,160,135,692,990,976
  5. Step 5: Solve for x
    x = 1,166,160,135,692,990,976/466,462,356
  6. Step 6: Final answer
    x = 2,500,009,101.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.