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Finding the Third Proportional to 352,580,760 and 767,596,080

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Solution

The third proportional to 352,580,760 and 767,596,080 is: 1,671,117,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,580,760 : 767,596,080 = 767,596,080 : x
  2. Step 2: Convert to fraction form
    352,580,760/767,596,080 = 767,596,080/x
  3. Step 3: Cross multiply
    352,580,760x = 767,596,080 × 767,596,080
  4. Step 4: Simplify right side
    352,580,760x = 589,203,742,031,366,400
  5. Step 5: Solve for x
    x = 589,203,742,031,366,400/352,580,760
  6. Step 6: Final answer
    x = 1,671,117,113.80

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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.