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Finding the Third Proportional to 424,312,911 and 633,856,324.50

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Solution

The third proportional to 424,312,911 and 633,856,324.50 is: 946,881,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,312,911 : 633,856,324.50 = 633,856,324.50 : x
  2. Step 2: Convert to fraction form
    424,312,911/633,856,324.50 = 633,856,324.50/x
  3. Step 3: Cross multiply
    424,312,911x = 633,856,324.50 × 633,856,324.50
  4. Step 4: Simplify right side
    424,312,911x = 401,773,840,108,649,280
  5. Step 5: Solve for x
    x = 401,773,840,108,649,280/424,312,911
  6. Step 6: Final answer
    x = 946,881,015.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.