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Finding the Third Proportional to 2,684,712,929 and 6,328,614,900

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Solution

The third proportional to 2,684,712,929 and 6,328,614,900 is: 14,918,305,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684,712,929 : 6,328,614,900 = 6,328,614,900 : x
  2. Step 2: Convert to fraction form
    2,684,712,929/6,328,614,900 = 6,328,614,900/x
  3. Step 3: Cross multiply
    2,684,712,929x = 6,328,614,900 × 6,328,614,900
  4. Step 4: Simplify right side
    2,684,712,929x = 40,051,366,552,502,009,856
  5. Step 5: Solve for x
    x = 40,051,366,552,502,009,856/2,684,712,929
  6. Step 6: Final answer
    x = 14,918,305,089.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.