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Finding the Third Proportional to 29,075,346 and 45,616,914

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Solution

The third proportional to 29,075,346 and 45,616,914 is: 71,569,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,075,346 : 45,616,914 = 45,616,914 : x
  2. Step 2: Convert to fraction form
    29,075,346/45,616,914 = 45,616,914/x
  3. Step 3: Cross multiply
    29,075,346x = 45,616,914 × 45,616,914
  4. Step 4: Simplify right side
    29,075,346x = 2,080,902,842,883,396
  5. Step 5: Solve for x
    x = 2,080,902,842,883,396/29,075,346
  6. Step 6: Final answer
    x = 71,569,323.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.