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Finding the Third Proportional to 7,486,301,412 and 16,220,948,094

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Solution

The third proportional to 7,486,301,412 and 16,220,948,094 is: 35,146,749,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486,301,412 : 16,220,948,094 = 16,220,948,094 : x
  2. Step 2: Convert to fraction form
    7,486,301,412/16,220,948,094 = 16,220,948,094/x
  3. Step 3: Cross multiply
    7,486,301,412x = 16,220,948,094 × 16,220,948,094
  4. Step 4: Simplify right side
    7,486,301,412x = 263,119,157,068,242,223,104
  5. Step 5: Solve for x
    x = 263,119,157,068,242,223,104/7,486,301,412
  6. Step 6: Final answer
    x = 35,146,749,053.74

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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.