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Finding the Third Proportional to 560,533,180 and 1,309,658,480

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Solution

The third proportional to 560,533,180 and 1,309,658,480 is: 3,059,953,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,533,180 : 1,309,658,480 = 1,309,658,480 : x
  2. Step 2: Convert to fraction form
    560,533,180/1,309,658,480 = 1,309,658,480/x
  3. Step 3: Cross multiply
    560,533,180x = 1,309,658,480 × 1,309,658,480
  4. Step 4: Simplify right side
    560,533,180x = 1,715,205,334,235,910,400
  5. Step 5: Solve for x
    x = 1,715,205,334,235,910,400/560,533,180
  6. Step 6: Final answer
    x = 3,059,953,264.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.