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Finding the Third Proportional to 30,771,507 and 48,725,901.75

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Solution

The third proportional to 30,771,507 and 48,725,901.75 is: 77,156,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771,507 : 48,725,901.75 = 48,725,901.75 : x
  2. Step 2: Convert to fraction form
    30,771,507/48,725,901.75 = 48,725,901.75/x
  3. Step 3: Cross multiply
    30,771,507x = 48,725,901.75 × 48,725,901.75
  4. Step 4: Simplify right side
    30,771,507x = 2,374,213,501,350,653
  5. Step 5: Solve for x
    x = 2,374,213,501,350,653/30,771,507
  6. Step 6: Final answer
    x = 77,156,230.97

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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.