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Finding the Third Proportional to 4,159,047,465 and 9,247,998,584

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Solution

The third proportional to 4,159,047,465 and 9,247,998,584 is: 20,563,717,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159,047,465 : 9,247,998,584 = 9,247,998,584 : x
  2. Step 2: Convert to fraction form
    4,159,047,465/9,247,998,584 = 9,247,998,584/x
  3. Step 3: Cross multiply
    4,159,047,465x = 9,247,998,584 × 9,247,998,584
  4. Step 4: Simplify right side
    4,159,047,465x = 85,525,477,809,665,998,848
  5. Step 5: Solve for x
    x = 85,525,477,809,665,998,848/4,159,047,465
  6. Step 6: Final answer
    x = 20,563,717,661.17

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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.