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Finding the Third Proportional to 528,673,742 and 1,145,196,700

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Solution

The third proportional to 528,673,742 and 1,145,196,700 is: 2,480,689,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,673,742 : 1,145,196,700 = 1,145,196,700 : x
  2. Step 2: Convert to fraction form
    528,673,742/1,145,196,700 = 1,145,196,700/x
  3. Step 3: Cross multiply
    528,673,742x = 1,145,196,700 × 1,145,196,700
  4. Step 4: Simplify right side
    528,673,742x = 1,311,475,481,690,889,984
  5. Step 5: Solve for x
    x = 1,311,475,481,690,889,984/528,673,742
  6. Step 6: Final answer
    x = 2,480,689,653.19

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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.