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Finding the Third Proportional to 634,433,646.66 and 969,885,539.30

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Solution

The third proportional to 634,433,646.66 and 969,885,539.30 is: 1,482,705,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,433,646.66 : 969,885,539.30 = 969,885,539.30 : x
  2. Step 2: Convert to fraction form
    634,433,646.66/969,885,539.30 = 969,885,539.30/x
  3. Step 3: Cross multiply
    634,433,646.66x = 969,885,539.30 × 969,885,539.30
  4. Step 4: Simplify right side
    634,433,646.66x = 940,677,959,337,238,656
  5. Step 5: Solve for x
    x = 940,677,959,337,238,656/634,433,646.66
  6. Step 6: Final answer
    x = 1,482,705,030.38

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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.