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Finding the Third Proportional to 748,750,187.60 and 1,168,453,231.35

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Solution

The third proportional to 748,750,187.60 and 1,168,453,231.35 is: 1,823,415,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,750,187.60 : 1,168,453,231.35 = 1,168,453,231.35 : x
  2. Step 2: Convert to fraction form
    748,750,187.60/1,168,453,231.35 = 1,168,453,231.35/x
  3. Step 3: Cross multiply
    748,750,187.60x = 1,168,453,231.35 × 1,168,453,231.35
  4. Step 4: Simplify right side
    748,750,187.60x = 1,365,282,953,846,648,064
  5. Step 5: Solve for x
    x = 1,365,282,953,846,648,064/748,750,187.60
  6. Step 6: Final answer
    x = 1,823,415,842.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.