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Finding the Third Proportional to 623,858,476.50 and 1,351,745,725.50

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Solution

The third proportional to 623,858,476.50 and 1,351,745,725.50 is: 2,928,895,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,858,476.50 : 1,351,745,725.50 = 1,351,745,725.50 : x
  2. Step 2: Convert to fraction form
    623,858,476.50/1,351,745,725.50 = 1,351,745,725.50/x
  3. Step 3: Cross multiply
    623,858,476.50x = 1,351,745,725.50 × 1,351,745,725.50
  4. Step 4: Simplify right side
    623,858,476.50x = 1,827,216,506,407,521,280
  5. Step 5: Solve for x
    x = 1,827,216,506,407,521,280/623,858,476.50
  6. Step 6: Final answer
    x = 2,928,895,855.77

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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.