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Finding the Third Proportional to 74,344,730 and 161,043,254

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Solution

The third proportional to 74,344,730 and 161,043,254 is: 348,846,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,344,730 : 161,043,254 = 161,043,254 : x
  2. Step 2: Convert to fraction form
    74,344,730/161,043,254 = 161,043,254/x
  3. Step 3: Cross multiply
    74,344,730x = 161,043,254 × 161,043,254
  4. Step 4: Simplify right side
    74,344,730x = 25,934,929,658,908,516
  5. Step 5: Solve for x
    x = 25,934,929,658,908,516/74,344,730
  6. Step 6: Final answer
    x = 348,846,914.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.