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Finding the Third Proportional to 30,772,740 and 48,727,896

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Solution

The third proportional to 30,772,740 and 48,727,896 is: 77,159,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772,740 : 48,727,896 = 48,727,896 : x
  2. Step 2: Convert to fraction form
    30,772,740/48,727,896 = 48,727,896/x
  3. Step 3: Cross multiply
    30,772,740x = 48,727,896 × 48,727,896
  4. Step 4: Simplify right side
    30,772,740x = 2,374,407,848,586,816
  5. Step 5: Solve for x
    x = 2,374,407,848,586,816/30,772,740
  6. Step 6: Final answer
    x = 77,159,455.04

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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.