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Finding the Third Proportional to 426,706,953 and 930,944,835

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Solution

The third proportional to 426,706,953 and 930,944,835 is: 2,031,038,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,706,953 : 930,944,835 = 930,944,835 : x
  2. Step 2: Convert to fraction form
    426,706,953/930,944,835 = 930,944,835/x
  3. Step 3: Cross multiply
    426,706,953x = 930,944,835 × 930,944,835
  4. Step 4: Simplify right side
    426,706,953x = 866,658,285,813,177,216
  5. Step 5: Solve for x
    x = 866,658,285,813,177,216/426,706,953
  6. Step 6: Final answer
    x = 2,031,038,584.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.