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Finding the Third Proportional to 34,353,649.13 and 74,880,095.63

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Solution

The third proportional to 34,353,649.13 and 74,880,095.63 is: 163,214,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,353,649.13 : 74,880,095.63 = 74,880,095.63 : x
  2. Step 2: Convert to fraction form
    34,353,649.13/74,880,095.63 = 74,880,095.63/x
  3. Step 3: Cross multiply
    34,353,649.13x = 74,880,095.63 × 74,880,095.63
  4. Step 4: Simplify right side
    34,353,649.13x = 5,607,028,720,809,144
  5. Step 5: Solve for x
    x = 5,607,028,720,809,144/34,353,649.13
  6. Step 6: Final answer
    x = 163,214,938.26

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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.