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Finding the Third Proportional to 13,506,677,004 and 29,761,244,664

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Solution

The third proportional to 13,506,677,004 and 29,761,244,664 is: 65,577,320,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506,677,004 : 29,761,244,664 = 29,761,244,664 : x
  2. Step 2: Convert to fraction form
    13,506,677,004/29,761,244,664 = 29,761,244,664/x
  3. Step 3: Cross multiply
    13,506,677,004x = 29,761,244,664 × 29,761,244,664
  4. Step 4: Simplify right side
    13,506,677,004x = 885,731,683,950,468,530,176
  5. Step 5: Solve for x
    x = 885,731,683,950,468,530,176/13,506,677,004
  6. Step 6: Final answer
    x = 65,577,320,290.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.