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Finding the Third Proportional to 4,714,517,590 and 10,266,054,759

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Solution

The third proportional to 4,714,517,590 and 10,266,054,759 is: 22,354,753,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,517,590 : 10,266,054,759 = 10,266,054,759 : x
  2. Step 2: Convert to fraction form
    4,714,517,590/10,266,054,759 = 10,266,054,759/x
  3. Step 3: Cross multiply
    4,714,517,590x = 10,266,054,759 × 10,266,054,759
  4. Step 4: Simplify right side
    4,714,517,590x = 105,391,880,314,786,545,664
  5. Step 5: Solve for x
    x = 105,391,880,314,786,545,664/4,714,517,590
  6. Step 6: Final answer
    x = 22,354,753,864.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.