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Finding the Third Proportional to 728,373,730 and 1,602,030,146

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Solution

The third proportional to 728,373,730 and 1,602,030,146 is: 3,523,604,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,373,730 : 1,602,030,146 = 1,602,030,146 : x
  2. Step 2: Convert to fraction form
    728,373,730/1,602,030,146 = 1,602,030,146/x
  3. Step 3: Cross multiply
    728,373,730x = 1,602,030,146 × 1,602,030,146
  4. Step 4: Simplify right side
    728,373,730x = 2,566,500,588,692,781,568
  5. Step 5: Solve for x
    x = 2,566,500,588,692,781,568/728,373,730
  6. Step 6: Final answer
    x = 3,523,604,000.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.