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Finding the Third Proportional to 29,075,148 and 45,014,724

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Solution

The third proportional to 29,075,148 and 45,014,724 is: 69,692,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,075,148 : 45,014,724 = 45,014,724 : x
  2. Step 2: Convert to fraction form
    29,075,148/45,014,724 = 45,014,724/x
  3. Step 3: Cross multiply
    29,075,148x = 45,014,724 × 45,014,724
  4. Step 4: Simplify right side
    29,075,148x = 2,026,325,376,796,176
  5. Step 5: Solve for x
    x = 2,026,325,376,796,176/29,075,148
  6. Step 6: Final answer
    x = 69,692,693.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.