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Finding the Third Proportional to 846,344,025 and 1,307,248,105.50

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Solution

The third proportional to 846,344,025 and 1,307,248,105.50 is: 2,019,152,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,344,025 : 1,307,248,105.50 = 1,307,248,105.50 : x
  2. Step 2: Convert to fraction form
    846,344,025/1,307,248,105.50 = 1,307,248,105.50/x
  3. Step 3: Cross multiply
    846,344,025x = 1,307,248,105.50 × 1,307,248,105.50
  4. Step 4: Simplify right side
    846,344,025x = 1,708,897,609,333,339,136
  5. Step 5: Solve for x
    x = 1,708,897,609,333,339,136/846,344,025
  6. Step 6: Final answer
    x = 2,019,152,447.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.