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Finding the Third Proportional to 286,240,834 and 623,167,240

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Solution

The third proportional to 286,240,834 and 623,167,240 is: 1,356,680,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,240,834 : 623,167,240 = 623,167,240 : x
  2. Step 2: Convert to fraction form
    286,240,834/623,167,240 = 623,167,240/x
  3. Step 3: Cross multiply
    286,240,834x = 623,167,240 × 623,167,240
  4. Step 4: Simplify right side
    286,240,834x = 388,337,409,009,217,600
  5. Step 5: Solve for x
    x = 388,337,409,009,217,600/286,240,834
  6. Step 6: Final answer
    x = 1,356,680,678.93

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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.