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Finding the Third Proportional to 6,024,429,168 and 13,016,877,024

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Solution

The third proportional to 6,024,429,168 and 13,016,877,024 is: 28,125,334,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,429,168 : 13,016,877,024 = 13,016,877,024 : x
  2. Step 2: Convert to fraction form
    6,024,429,168/13,016,877,024 = 13,016,877,024/x
  3. Step 3: Cross multiply
    6,024,429,168x = 13,016,877,024 × 13,016,877,024
  4. Step 4: Simplify right side
    6,024,429,168x = 169,439,087,457,939,095,552
  5. Step 5: Solve for x
    x = 169,439,087,457,939,095,552/6,024,429,168
  6. Step 6: Final answer
    x = 28,125,334,821.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.