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Finding the Third Proportional to 21,702,743,575 and 46,545,657,619

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Solution

The third proportional to 21,702,743,575 and 46,545,657,619 is: 99,826,007,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702,743,575 : 46,545,657,619 = 46,545,657,619 : x
  2. Step 2: Convert to fraction form
    21,702,743,575/46,545,657,619 = 46,545,657,619/x
  3. Step 3: Cross multiply
    21,702,743,575x = 46,545,657,619 × 46,545,657,619
  4. Step 4: Simplify right side
    21,702,743,575x = 2,166,498,243,185,172,807,680
  5. Step 5: Solve for x
    x = 2,166,498,243,185,172,807,680/21,702,743,575
  6. Step 6: Final answer
    x = 99,826,007,513.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.