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Finding the Third Proportional to 2,379,031,746 and 5,153,384,964

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Solution

The third proportional to 2,379,031,746 and 5,153,384,964 is: 11,163,103,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379,031,746 : 5,153,384,964 = 5,153,384,964 : x
  2. Step 2: Convert to fraction form
    2,379,031,746/5,153,384,964 = 5,153,384,964/x
  3. Step 3: Cross multiply
    2,379,031,746x = 5,153,384,964 × 5,153,384,964
  4. Step 4: Simplify right side
    2,379,031,746x = 26,557,376,587,181,281,280
  5. Step 5: Solve for x
    x = 26,557,376,587,181,281,280/2,379,031,746
  6. Step 6: Final answer
    x = 11,163,103,069.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.