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Finding the Third Proportional to 99,607,624,896 and 215,087,264,954

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Solution

The third proportional to 99,607,624,896 and 215,087,264,954 is: 464,447,692,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,607,624,896 : 215,087,264,954 = 215,087,264,954 : x
  2. Step 2: Convert to fraction form
    99,607,624,896/215,087,264,954 = 215,087,264,954/x
  3. Step 3: Cross multiply
    99,607,624,896x = 215,087,264,954 × 215,087,264,954
  4. Step 4: Simplify right side
    99,607,624,896x = 46,262,531,545,392,197,140,480
  5. Step 5: Solve for x
    x = 46,262,531,545,392,197,140,480/99,607,624,896
  6. Step 6: Final answer
    x = 464,447,692,570.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.