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Finding the Third Proportional to 540,556,501.50 and 1,180,197,224

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Solution

The third proportional to 540,556,501.50 and 1,180,197,224 is: 2,576,725,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,556,501.50 : 1,180,197,224 = 1,180,197,224 : x
  2. Step 2: Convert to fraction form
    540,556,501.50/1,180,197,224 = 1,180,197,224/x
  3. Step 3: Cross multiply
    540,556,501.50x = 1,180,197,224 × 1,180,197,224
  4. Step 4: Simplify right side
    540,556,501.50x = 1,392,865,487,537,306,112
  5. Step 5: Solve for x
    x = 1,392,865,487,537,306,112/540,556,501.50
  6. Step 6: Final answer
    x = 2,576,725,066.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.