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Finding the Third Proportional to 845,911,584 and 1,293,180,790.50

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Solution

The third proportional to 845,911,584 and 1,293,180,790.50 is: 1,976,940,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,911,584 : 1,293,180,790.50 = 1,293,180,790.50 : x
  2. Step 2: Convert to fraction form
    845,911,584/1,293,180,790.50 = 1,293,180,790.50/x
  3. Step 3: Cross multiply
    845,911,584x = 1,293,180,790.50 × 1,293,180,790.50
  4. Step 4: Simplify right side
    845,911,584x = 1,672,316,556,918,204,928
  5. Step 5: Solve for x
    x = 1,672,316,556,918,204,928/845,911,584
  6. Step 6: Final answer
    x = 1,976,940,130.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.