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Finding the Third Proportional to 29,075,280.75 and 45,014,919.75

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Solution

The third proportional to 29,075,280.75 and 45,014,919.75 is: 69,692,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,075,280.75 : 45,014,919.75 = 45,014,919.75 : x
  2. Step 2: Convert to fraction form
    29,075,280.75/45,014,919.75 = 45,014,919.75/x
  3. Step 3: Cross multiply
    29,075,280.75x = 45,014,919.75 × 45,014,919.75
  4. Step 4: Simplify right side
    29,075,280.75x = 2,026,343,000,098,940
  5. Step 5: Solve for x
    x = 2,026,343,000,098,940/29,075,280.75
  6. Step 6: Final answer
    x = 69,692,981.39

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