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Finding the Third Proportional to 407,438,687.25 and 882,564,916.50

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Solution

The third proportional to 407,438,687.25 and 882,564,916.50 is: 1,911,749,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,438,687.25 : 882,564,916.50 = 882,564,916.50 : x
  2. Step 2: Convert to fraction form
    407,438,687.25/882,564,916.50 = 882,564,916.50/x
  3. Step 3: Cross multiply
    407,438,687.25x = 882,564,916.50 × 882,564,916.50
  4. Step 4: Simplify right side
    407,438,687.25x = 778,920,831,836,652,032
  5. Step 5: Solve for x
    x = 778,920,831,836,652,032/407,438,687.25
  6. Step 6: Final answer
    x = 1,911,749,807.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.