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Finding the Third Proportional to 242,245,541 and 531,390,340

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Solution

The third proportional to 242,245,541 and 531,390,340 is: 1,165,658,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,245,541 : 531,390,340 = 531,390,340 : x
  2. Step 2: Convert to fraction form
    242,245,541/531,390,340 = 531,390,340/x
  3. Step 3: Cross multiply
    242,245,541x = 531,390,340 × 531,390,340
  4. Step 4: Simplify right side
    242,245,541x = 282,375,693,445,315,584
  5. Step 5: Solve for x
    x = 282,375,693,445,315,584/242,245,541
  6. Step 6: Final answer
    x = 1,165,658,993.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.