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Finding the Third Proportional to 5,966,804,094 and 9,360,154,809

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Solution

The third proportional to 5,966,804,094 and 9,360,154,809 is: 14,683,320,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966,804,094 : 9,360,154,809 = 9,360,154,809 : x
  2. Step 2: Convert to fraction form
    5,966,804,094/9,360,154,809 = 9,360,154,809/x
  3. Step 3: Cross multiply
    5,966,804,094x = 9,360,154,809 × 9,360,154,809
  4. Step 4: Simplify right side
    5,966,804,094x = 87,612,498,048,445,825,024
  5. Step 5: Solve for x
    x = 87,612,498,048,445,825,024/5,966,804,094
  6. Step 6: Final answer
    x = 14,683,320,697.01

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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.