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Finding the Third Proportional to 30,771,712.69 and 48,726,200.53

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Solution

The third proportional to 30,771,712.69 and 48,726,200.53 is: 77,156,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771,712.69 : 48,726,200.53 = 48,726,200.53 : x
  2. Step 2: Convert to fraction form
    30,771,712.69/48,726,200.53 = 48,726,200.53/x
  3. Step 3: Cross multiply
    30,771,712.69x = 48,726,200.53 × 48,726,200.53
  4. Step 4: Simplify right side
    30,771,712.69x = 2,374,242,618,211,588
  5. Step 5: Solve for x
    x = 2,374,242,618,211,588/30,771,712.69
  6. Step 6: Final answer
    x = 77,156,661.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.