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Finding the Third Proportional to 2,668,075,484 and 5,795,445,140

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Solution

The third proportional to 2,668,075,484 and 5,795,445,140 is: 12,588,543,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668,075,484 : 5,795,445,140 = 5,795,445,140 : x
  2. Step 2: Convert to fraction form
    2,668,075,484/5,795,445,140 = 5,795,445,140/x
  3. Step 3: Cross multiply
    2,668,075,484x = 5,795,445,140 × 5,795,445,140
  4. Step 4: Simplify right side
    2,668,075,484x = 33,587,184,370,749,620,224
  5. Step 5: Solve for x
    x = 33,587,184,370,749,620,224/2,668,075,484
  6. Step 6: Final answer
    x = 12,588,543,529.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.