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Finding the Third Proportional to 634,439,232 and 969,898,225.50

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Solution

The third proportional to 634,439,232 and 969,898,225.50 is: 1,482,730,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,439,232 : 969,898,225.50 = 969,898,225.50 : x
  2. Step 2: Convert to fraction form
    634,439,232/969,898,225.50 = 969,898,225.50/x
  3. Step 3: Cross multiply
    634,439,232x = 969,898,225.50 × 969,898,225.50
  4. Step 4: Simplify right side
    634,439,232x = 940,702,567,828,048,896
  5. Step 5: Solve for x
    x = 940,702,567,828,048,896/634,439,232
  6. Step 6: Final answer
    x = 1,482,730,765.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.