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Finding the Third Proportional to 34,477,461 and 51,417,207

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Solution

The third proportional to 34,477,461 and 51,417,207 is: 76,679,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477,461 : 51,417,207 = 51,417,207 : x
  2. Step 2: Convert to fraction form
    34,477,461/51,417,207 = 51,417,207/x
  3. Step 3: Cross multiply
    34,477,461x = 51,417,207 × 51,417,207
  4. Step 4: Simplify right side
    34,477,461x = 2,643,729,175,680,849
  5. Step 5: Solve for x
    x = 2,643,729,175,680,849/34,477,461
  6. Step 6: Final answer
    x = 76,679,926.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.