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Finding the Third Proportional to 4,605,333,407 and 7,074,355,483

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Solution

The third proportional to 4,605,333,407 and 7,074,355,483 is: 10,867,075,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605,333,407 : 7,074,355,483 = 7,074,355,483 : x
  2. Step 2: Convert to fraction form
    4,605,333,407/7,074,355,483 = 7,074,355,483/x
  3. Step 3: Cross multiply
    4,605,333,407x = 7,074,355,483 × 7,074,355,483
  4. Step 4: Simplify right side
    4,605,333,407x = 50,046,505,499,852,161,024
  5. Step 5: Solve for x
    x = 50,046,505,499,852,161,024/4,605,333,407
  6. Step 6: Final answer
    x = 10,867,075,426.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.