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Finding the Third Proportional to 646,964,907 and 1,417,079,481

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Solution

The third proportional to 646,964,907 and 1,417,079,481 is: 3,103,899,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,964,907 : 1,417,079,481 = 1,417,079,481 : x
  2. Step 2: Convert to fraction form
    646,964,907/1,417,079,481 = 1,417,079,481/x
  3. Step 3: Cross multiply
    646,964,907x = 1,417,079,481 × 1,417,079,481
  4. Step 4: Simplify right side
    646,964,907x = 2,008,114,255,471,229,440
  5. Step 5: Solve for x
    x = 2,008,114,255,471,229,440/646,964,907
  6. Step 6: Final answer
    x = 3,103,899,815.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.