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Finding the Third Proportional to 1,385,211,702 and 3,047,460,900

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Solution

The third proportional to 1,385,211,702 and 3,047,460,900 is: 6,704,403,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,211,702 : 3,047,460,900 = 3,047,460,900 : x
  2. Step 2: Convert to fraction form
    1,385,211,702/3,047,460,900 = 3,047,460,900/x
  3. Step 3: Cross multiply
    1,385,211,702x = 3,047,460,900 × 3,047,460,900
  4. Step 4: Simplify right side
    1,385,211,702x = 9,287,017,937,028,810,752
  5. Step 5: Solve for x
    x = 9,287,017,937,028,810,752/1,385,211,702
  6. Step 6: Final answer
    x = 6,704,403,322.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.