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Finding the Third Proportional to 217,715,075,480 and 302,715,410,052

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Solution

The third proportional to 217,715,075,480 and 302,715,410,052 is: 420,901,581,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,715,075,480 : 302,715,410,052 = 302,715,410,052 : x
  2. Step 2: Convert to fraction form
    217,715,075,480/302,715,410,052 = 302,715,410,052/x
  3. Step 3: Cross multiply
    217,715,075,480x = 302,715,410,052 × 302,715,410,052
  4. Step 4: Simplify right side
    217,715,075,480x = 91,636,619,482,950,495,371,264
  5. Step 5: Solve for x
    x = 91,636,619,482,950,495,371,264/217,715,075,480
  6. Step 6: Final answer
    x = 420,901,581,027.03

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.