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Finding the Third Proportional to 30,948,685.50 and 64,409,248.50

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Solution

The third proportional to 30,948,685.50 and 64,409,248.50 is: 134,046,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948,685.50 : 64,409,248.50 = 64,409,248.50 : x
  2. Step 2: Convert to fraction form
    30,948,685.50/64,409,248.50 = 64,409,248.50/x
  3. Step 3: Cross multiply
    30,948,685.50x = 64,409,248.50 × 64,409,248.50
  4. Step 4: Simplify right side
    30,948,685.50x = 4,148,551,292,334,752
  5. Step 5: Solve for x
    x = 4,148,551,292,334,752/30,948,685.50
  6. Step 6: Final answer
    x = 134,046,122.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.