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Finding the Third Proportional to 8,323,981,528 and 19,643,106,526

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Solution

The third proportional to 8,323,981,528 and 19,643,106,526 is: 46,354,215,551.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323,981,528 : 19,643,106,526 = 19,643,106,526 : x
  2. Step 2: Convert to fraction form
    8,323,981,528/19,643,106,526 = 19,643,106,526/x
  3. Step 3: Cross multiply
    8,323,981,528x = 19,643,106,526 × 19,643,106,526
  4. Step 4: Simplify right side
    8,323,981,528x = 385,851,633,991,783,809,024
  5. Step 5: Solve for x
    x = 385,851,633,991,783,809,024/8,323,981,528
  6. Step 6: Final answer
    x = 46,354,215,551.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.