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Finding the Third Proportional to 294,985,536 and 424,938,208

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Solution

The third proportional to 294,985,536 and 424,938,208 is: 612,140,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,985,536 : 424,938,208 = 424,938,208 : x
  2. Step 2: Convert to fraction form
    294,985,536/424,938,208 = 424,938,208/x
  3. Step 3: Cross multiply
    294,985,536x = 424,938,208 × 424,938,208
  4. Step 4: Simplify right side
    294,985,536x = 180,572,480,618,251,264
  5. Step 5: Solve for x
    x = 180,572,480,618,251,264/294,985,536
  6. Step 6: Final answer
    x = 612,140,117.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.