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Finding the Third Proportional to 35,344,894 and 74,968,289

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Solution

The third proportional to 35,344,894 and 74,968,289 is: 159,011,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,344,894 : 74,968,289 = 74,968,289 : x
  2. Step 2: Convert to fraction form
    35,344,894/74,968,289 = 74,968,289/x
  3. Step 3: Cross multiply
    35,344,894x = 74,968,289 × 74,968,289
  4. Step 4: Simplify right side
    35,344,894x = 5,620,244,355,587,521
  5. Step 5: Solve for x
    x = 5,620,244,355,587,521/35,344,894
  6. Step 6: Final answer
    x = 159,011,492.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.