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Finding the Third Proportional to 30,335,294 and 42,923,511

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Solution

The third proportional to 30,335,294 and 42,923,511 is: 60,735,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335,294 : 42,923,511 = 42,923,511 : x
  2. Step 2: Convert to fraction form
    30,335,294/42,923,511 = 42,923,511/x
  3. Step 3: Cross multiply
    30,335,294x = 42,923,511 × 42,923,511
  4. Step 4: Simplify right side
    30,335,294x = 1,842,427,796,567,121
  5. Step 5: Solve for x
    x = 1,842,427,796,567,121/30,335,294
  6. Step 6: Final answer
    x = 60,735,452.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.