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Finding the Third Proportional to 4,844,100,664 and 10,605,271,088

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Solution

The third proportional to 4,844,100,664 and 10,605,271,088 is: 23,218,298,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844,100,664 : 10,605,271,088 = 10,605,271,088 : x
  2. Step 2: Convert to fraction form
    4,844,100,664/10,605,271,088 = 10,605,271,088/x
  3. Step 3: Cross multiply
    4,844,100,664x = 10,605,271,088 × 10,605,271,088
  4. Step 4: Simplify right side
    4,844,100,664x = 112,471,774,849,968,701,440
  5. Step 5: Solve for x
    x = 112,471,774,849,968,701,440/4,844,100,664
  6. Step 6: Final answer
    x = 23,218,298,431.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.