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Finding the Third Proportional to 6,965,709,463 and 15,155,793,379

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Solution

The third proportional to 6,965,709,463 and 15,155,793,379 is: 32,975,546,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,709,463 : 15,155,793,379 = 15,155,793,379 : x
  2. Step 2: Convert to fraction form
    6,965,709,463/15,155,793,379 = 15,155,793,379/x
  3. Step 3: Cross multiply
    6,965,709,463x = 15,155,793,379 × 15,155,793,379
  4. Step 4: Simplify right side
    6,965,709,463x = 229,698,072,946,940,248,064
  5. Step 5: Solve for x
    x = 229,698,072,946,940,248,064/6,965,709,463
  6. Step 6: Final answer
    x = 32,975,546,018.25

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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.