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Finding the Third Proportional to 5,966,804,100 and 9,360,154,818

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Solution

The third proportional to 5,966,804,100 and 9,360,154,818 is: 14,683,320,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966,804,100 : 9,360,154,818 = 9,360,154,818 : x
  2. Step 2: Convert to fraction form
    5,966,804,100/9,360,154,818 = 9,360,154,818/x
  3. Step 3: Cross multiply
    5,966,804,100x = 9,360,154,818 × 9,360,154,818
  4. Step 4: Simplify right side
    5,966,804,100x = 87,612,498,216,928,608,256
  5. Step 5: Solve for x
    x = 87,612,498,216,928,608,256/5,966,804,100
  6. Step 6: Final answer
    x = 14,683,320,710.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.