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Finding the Third Proportional to 1,095,707,723 and 2,346,563,032

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Solution

The third proportional to 1,095,707,723 and 2,346,563,032 is: 5,025,389,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,707,723 : 2,346,563,032 = 2,346,563,032 : x
  2. Step 2: Convert to fraction form
    1,095,707,723/2,346,563,032 = 2,346,563,032/x
  3. Step 3: Cross multiply
    1,095,707,723x = 2,346,563,032 × 2,346,563,032
  4. Step 4: Simplify right side
    1,095,707,723x = 5,506,358,063,149,033,472
  5. Step 5: Solve for x
    x = 5,506,358,063,149,033,472/1,095,707,723
  6. Step 6: Final answer
    x = 5,025,389,478.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.