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Finding the Third Proportional to 478,660,711.50 and 1,048,123,111.50

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Solution

The third proportional to 478,660,711.50 and 1,048,123,111.50 is: 2,295,074,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,660,711.50 : 1,048,123,111.50 = 1,048,123,111.50 : x
  2. Step 2: Convert to fraction form
    478,660,711.50/1,048,123,111.50 = 1,048,123,111.50/x
  3. Step 3: Cross multiply
    478,660,711.50x = 1,048,123,111.50 × 1,048,123,111.50
  4. Step 4: Simplify right side
    478,660,711.50x = 1,098,562,056,860,441,472
  5. Step 5: Solve for x
    x = 1,098,562,056,860,441,472/478,660,711.50
  6. Step 6: Final answer
    x = 2,295,074,633.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.