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Finding the Third Proportional to 40,239,559,584,038 and 87,529,506,383,308

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Solution

The third proportional to 40,239,559,584,038 and 87,529,506,383,308 is: 190,395,087,990,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,239,559,584,038 : 87,529,506,383,308 = 87,529,506,383,308 : x
  2. Step 2: Convert to fraction form
    40,239,559,584,038/87,529,506,383,308 = 87,529,506,383,308/x
  3. Step 3: Cross multiply
    40,239,559,584,038x = 87,529,506,383,308 × 87,529,506,383,308
  4. Step 4: Simplify right side
    40,239,559,584,038x = 7,661,414,487,705,555,527,014,547,456
  5. Step 5: Solve for x
    x = 7,661,414,487,705,555,527,014,547,456/40,239,559,584,038
  6. Step 6: Final answer
    x = 190,395,087,990,591.28

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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.