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Finding the Third Proportional to 22,342,023,996 and 48,606,655,572

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Solution

The third proportional to 22,342,023,996 and 48,606,655,572 is: 105,747,221,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342,023,996 : 48,606,655,572 = 48,606,655,572 : x
  2. Step 2: Convert to fraction form
    22,342,023,996/48,606,655,572 = 48,606,655,572/x
  3. Step 3: Cross multiply
    22,342,023,996x = 48,606,655,572 × 48,606,655,572
  4. Step 4: Simplify right side
    22,342,023,996x = 2,362,606,965,895,038,763,008
  5. Step 5: Solve for x
    x = 2,362,606,965,895,038,763,008/22,342,023,996
  6. Step 6: Final answer
    x = 105,747,221,752.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.