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Finding the Third Proportional to 30,235,932 and 46,537,353

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Solution

The third proportional to 30,235,932 and 46,537,353 is: 71,627,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,235,932 : 46,537,353 = 46,537,353 : x
  2. Step 2: Convert to fraction form
    30,235,932/46,537,353 = 46,537,353/x
  3. Step 3: Cross multiply
    30,235,932x = 46,537,353 × 46,537,353
  4. Step 4: Simplify right side
    30,235,932x = 2,165,725,224,246,609
  5. Step 5: Solve for x
    x = 2,165,725,224,246,609/30,235,932
  6. Step 6: Final answer
    x = 71,627,533.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.