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Finding the Third Proportional to 3,677,658,237,687 and 8,592,669,395,953.50

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Solution

The third proportional to 3,677,658,237,687 and 8,592,669,395,953.50 is: 20,076,353,640,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677,658,237,687 : 8,592,669,395,953.50 = 8,592,669,395,953.50 : x
  2. Step 2: Convert to fraction form
    3,677,658,237,687/8,592,669,395,953.50 = 8,592,669,395,953.50/x
  3. Step 3: Cross multiply
    3,677,658,237,687x = 8,592,669,395,953.50 × 8,592,669,395,953.50
  4. Step 4: Simplify right side
    3,677,658,237,687x = 73,833,967,348,155,883,284,594,688
  5. Step 5: Solve for x
    x = 73,833,967,348,155,883,284,594,688/3,677,658,237,687
  6. Step 6: Final answer
    x = 20,076,353,640,351.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.