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Finding the Third Proportional to 29,075,154 and 45,014,733

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Solution

The third proportional to 29,075,154 and 45,014,733 is: 69,692,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,075,154 : 45,014,733 = 45,014,733 : x
  2. Step 2: Convert to fraction form
    29,075,154/45,014,733 = 45,014,733/x
  3. Step 3: Cross multiply
    29,075,154x = 45,014,733 × 45,014,733
  4. Step 4: Simplify right side
    29,075,154x = 2,026,326,187,061,289
  5. Step 5: Solve for x
    x = 2,026,326,187,061,289/29,075,154
  6. Step 6: Final answer
    x = 69,692,706.94

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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.