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Finding the Third Proportional to 1,191,808,035 and 1,860,129,193.50

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Solution

The third proportional to 1,191,808,035 and 1,860,129,193.50 is: 2,903,219,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,808,035 : 1,860,129,193.50 = 1,860,129,193.50 : x
  2. Step 2: Convert to fraction form
    1,191,808,035/1,860,129,193.50 = 1,860,129,193.50/x
  3. Step 3: Cross multiply
    1,191,808,035x = 1,860,129,193.50 × 1,860,129,193.50
  4. Step 4: Simplify right side
    1,191,808,035x = 3,460,080,616,510,960,640
  5. Step 5: Solve for x
    x = 3,460,080,616,510,960,640/1,191,808,035
  6. Step 6: Final answer
    x = 2,903,219,742.52

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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.