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Finding the Third Proportional to 41,573,365,009.50 and 85,350,655,210.50

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Solution

The third proportional to 41,573,365,009.50 and 85,350,655,210.50 is: 175,225,997,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573,365,009.50 : 85,350,655,210.50 = 85,350,655,210.50 : x
  2. Step 2: Convert to fraction form
    41,573,365,009.50/85,350,655,210.50 = 85,350,655,210.50/x
  3. Step 3: Cross multiply
    41,573,365,009.50x = 85,350,655,210.50 × 85,350,655,210.50
  4. Step 4: Simplify right side
    41,573,365,009.50x = 7,284,734,344,861,650,518,016
  5. Step 5: Solve for x
    x = 7,284,734,344,861,650,518,016/41,573,365,009.50
  6. Step 6: Final answer
    x = 175,225,997,298.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.