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Finding the Third Proportional to 74,512,292,742 and 162,510,526,290

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Solution

The third proportional to 74,512,292,742 and 162,510,526,290 is: 354,433,747,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,512,292,742 : 162,510,526,290 = 162,510,526,290 : x
  2. Step 2: Convert to fraction form
    74,512,292,742/162,510,526,290 = 162,510,526,290/x
  3. Step 3: Cross multiply
    74,512,292,742x = 162,510,526,290 × 162,510,526,290
  4. Step 4: Simplify right side
    74,512,292,742x = 26,409,671,155,052,781,240,320
  5. Step 5: Solve for x
    x = 26,409,671,155,052,781,240,320/74,512,292,742
  6. Step 6: Final answer
    x = 354,433,747,549.50

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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.