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Finding the Third Proportional to 4,640,643,994 and 7,360,349,452

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Solution

The third proportional to 4,640,643,994 and 7,360,349,452 is: 11,673,971,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,643,994 : 7,360,349,452 = 7,360,349,452 : x
  2. Step 2: Convert to fraction form
    4,640,643,994/7,360,349,452 = 7,360,349,452/x
  3. Step 3: Cross multiply
    4,640,643,994x = 7,360,349,452 × 7,360,349,452
  4. Step 4: Simplify right side
    4,640,643,994x = 54,174,744,055,556,702,208
  5. Step 5: Solve for x
    x = 54,174,744,055,556,702,208/4,640,643,994
  6. Step 6: Final answer
    x = 11,673,971,139.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.