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Finding the Third Proportional to 326,806,951.50 and 705,259,219.50

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Solution

The third proportional to 326,806,951.50 and 705,259,219.50 is: 1,521,970,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,806,951.50 : 705,259,219.50 = 705,259,219.50 : x
  2. Step 2: Convert to fraction form
    326,806,951.50/705,259,219.50 = 705,259,219.50/x
  3. Step 3: Cross multiply
    326,806,951.50x = 705,259,219.50 × 705,259,219.50
  4. Step 4: Simplify right side
    326,806,951.50x = 497,390,566,689,749,184
  5. Step 5: Solve for x
    x = 497,390,566,689,749,184/326,806,951.50
  6. Step 6: Final answer
    x = 1,521,970,583.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.