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Finding the Third Proportional to 132,578,298 and 312,523,911

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Solution

The third proportional to 132,578,298 and 312,523,911 is: 736,705,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,578,298 : 312,523,911 = 312,523,911 : x
  2. Step 2: Convert to fraction form
    132,578,298/312,523,911 = 312,523,911/x
  3. Step 3: Cross multiply
    132,578,298x = 312,523,911 × 312,523,911
  4. Step 4: Simplify right side
    132,578,298x = 97,671,194,946,735,920
  5. Step 5: Solve for x
    x = 97,671,194,946,735,920/132,578,298
  6. Step 6: Final answer
    x = 736,705,753.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.