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Finding the Third Proportional to 634,434,522 and 969,886,929

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Solution

The third proportional to 634,434,522 and 969,886,929 is: 1,482,707,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,434,522 : 969,886,929 = 969,886,929 : x
  2. Step 2: Convert to fraction form
    634,434,522/969,886,929 = 969,886,929/x
  3. Step 3: Cross multiply
    634,434,522x = 969,886,929 × 969,886,929
  4. Step 4: Simplify right side
    634,434,522x = 940,680,655,045,051,008
  5. Step 5: Solve for x
    x = 940,680,655,045,051,008/634,434,522
  6. Step 6: Final answer
    x = 1,482,707,233.65

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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.