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Finding the Third Proportional to 6,381,854,830 and 9,803,310,407

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Solution

The third proportional to 6,381,854,830 and 9,803,310,407 is: 15,059,085,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,854,830 : 9,803,310,407 = 9,803,310,407 : x
  2. Step 2: Convert to fraction form
    6,381,854,830/9,803,310,407 = 9,803,310,407/x
  3. Step 3: Cross multiply
    6,381,854,830x = 9,803,310,407 × 9,803,310,407
  4. Step 4: Simplify right side
    6,381,854,830x = 96,104,894,935,994,499,072
  5. Step 5: Solve for x
    x = 96,104,894,935,994,499,072/6,381,854,830
  6. Step 6: Final answer
    x = 15,059,085,092.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.