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Finding the Third Proportional to 1,362,921,034 and 2,964,639,897

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Solution

The third proportional to 1,362,921,034 and 2,964,639,897 is: 6,448,715,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,921,034 : 2,964,639,897 = 2,964,639,897 : x
  2. Step 2: Convert to fraction form
    1,362,921,034/2,964,639,897 = 2,964,639,897/x
  3. Step 3: Cross multiply
    1,362,921,034x = 2,964,639,897 × 2,964,639,897
  4. Step 4: Simplify right side
    1,362,921,034x = 8,789,089,718,884,170,752
  5. Step 5: Solve for x
    x = 8,789,089,718,884,170,752/1,362,921,034
  6. Step 6: Final answer
    x = 6,448,715,295.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.