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Finding the Third Proportional to 9,032,886,612 and 19,566,759,440

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Solution

The third proportional to 9,032,886,612 and 19,566,759,440 is: 42,384,908,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032,886,612 : 19,566,759,440 = 19,566,759,440 : x
  2. Step 2: Convert to fraction form
    9,032,886,612/19,566,759,440 = 19,566,759,440/x
  3. Step 3: Cross multiply
    9,032,886,612x = 19,566,759,440 × 19,566,759,440
  4. Step 4: Simplify right side
    9,032,886,612x = 382,858,074,982,829,129,728
  5. Step 5: Solve for x
    x = 382,858,074,982,829,129,728/9,032,886,612
  6. Step 6: Final answer
    x = 42,384,908,770.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.