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Finding the Third Proportional to 6,356,514,388 and 13,684,502,312

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Solution

The third proportional to 6,356,514,388 and 13,684,502,312 is: 29,460,423,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356,514,388 : 13,684,502,312 = 13,684,502,312 : x
  2. Step 2: Convert to fraction form
    6,356,514,388/13,684,502,312 = 13,684,502,312/x
  3. Step 3: Cross multiply
    6,356,514,388x = 13,684,502,312 × 13,684,502,312
  4. Step 4: Simplify right side
    6,356,514,388x = 187,265,603,527,133,331,456
  5. Step 5: Solve for x
    x = 187,265,603,527,133,331,456/6,356,514,388
  6. Step 6: Final answer
    x = 29,460,423,133.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.