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Finding the Third Proportional to 69,655,584 and 162,657,184

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Solution

The third proportional to 69,655,584 and 162,657,184 is: 379,831,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,655,584 : 162,657,184 = 162,657,184 : x
  2. Step 2: Convert to fraction form
    69,655,584/162,657,184 = 162,657,184/x
  3. Step 3: Cross multiply
    69,655,584x = 162,657,184 × 162,657,184
  4. Step 4: Simplify right side
    69,655,584x = 26,457,359,506,809,856
  5. Step 5: Solve for x
    x = 26,457,359,506,809,856/69,655,584
  6. Step 6: Final answer
    x = 379,831,134.67

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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.