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Finding the Third Proportional to 9,469,894,960 and 13,239,470,511

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Solution

The third proportional to 9,469,894,960 and 13,239,470,511 is: 18,509,558,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469,894,960 : 13,239,470,511 = 13,239,470,511 : x
  2. Step 2: Convert to fraction form
    9,469,894,960/13,239,470,511 = 13,239,470,511/x
  3. Step 3: Cross multiply
    9,469,894,960x = 13,239,470,511 × 13,239,470,511
  4. Step 4: Simplify right side
    9,469,894,960x = 175,283,579,411,638,616,064
  5. Step 5: Solve for x
    x = 175,283,579,411,638,616,064/9,469,894,960
  6. Step 6: Final answer
    x = 18,509,558,992.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.