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Finding the Third Proportional to 29,301,441 and 43,075,174.50

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Solution

The third proportional to 29,301,441 and 43,075,174.50 is: 63,323,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,301,441 : 43,075,174.50 = 43,075,174.50 : x
  2. Step 2: Convert to fraction form
    29,301,441/43,075,174.50 = 43,075,174.50/x
  3. Step 3: Cross multiply
    29,301,441x = 43,075,174.50 × 43,075,174.50
  4. Step 4: Simplify right side
    29,301,441x = 1,855,470,658,205,450.25
  5. Step 5: Solve for x
    x = 1,855,470,658,205,450.25/29,301,441
  6. Step 6: Final answer
    x = 63,323,529.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.