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Finding the Third Proportional to 7,354,347,009 and 10,319,604,714

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Solution

The third proportional to 7,354,347,009 and 10,319,604,714 is: 14,480,448,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354,347,009 : 10,319,604,714 = 10,319,604,714 : x
  2. Step 2: Convert to fraction form
    7,354,347,009/10,319,604,714 = 10,319,604,714/x
  3. Step 3: Cross multiply
    7,354,347,009x = 10,319,604,714 × 10,319,604,714
  4. Step 4: Simplify right side
    7,354,347,009x = 106,494,241,453,211,025,408
  5. Step 5: Solve for x
    x = 106,494,241,453,211,025,408/7,354,347,009
  6. Step 6: Final answer
    x = 14,480,448,274.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.