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Finding the Third Proportional to 31,490,905 and 47,072,413

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Solution

The third proportional to 31,490,905 and 47,072,413 is: 70,363,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490,905 : 47,072,413 = 47,072,413 : x
  2. Step 2: Convert to fraction form
    31,490,905/47,072,413 = 47,072,413/x
  3. Step 3: Cross multiply
    31,490,905x = 47,072,413 × 47,072,413
  4. Step 4: Simplify right side
    31,490,905x = 2,215,812,065,642,569
  5. Step 5: Solve for x
    x = 2,215,812,065,642,569/31,490,905
  6. Step 6: Final answer
    x = 70,363,556.26

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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.