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Finding the Third Proportional to 40,043,958,561 and 54,533,036,535

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Solution

The third proportional to 40,043,958,561 and 54,533,036,535 is: 74,264,687,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,043,958,561 : 54,533,036,535 = 54,533,036,535 : x
  2. Step 2: Convert to fraction form
    40,043,958,561/54,533,036,535 = 54,533,036,535/x
  3. Step 3: Cross multiply
    40,043,958,561x = 54,533,036,535 × 54,533,036,535
  4. Step 4: Simplify right side
    40,043,958,561x = 2,973,852,073,727,644,663,808
  5. Step 5: Solve for x
    x = 2,973,852,073,727,644,663,808/40,043,958,561
  6. Step 6: Final answer
    x = 74,264,687,623.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.