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Finding the Third Proportional to 528,673,728 and 1,145,196,672

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Solution

The third proportional to 528,673,728 and 1,145,196,672 is: 2,480,689,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,673,728 : 1,145,196,672 = 1,145,196,672 : x
  2. Step 2: Convert to fraction form
    528,673,728/1,145,196,672 = 1,145,196,672/x
  3. Step 3: Cross multiply
    528,673,728x = 1,145,196,672 × 1,145,196,672
  4. Step 4: Simplify right side
    528,673,728x = 1,311,475,417,559,875,584
  5. Step 5: Solve for x
    x = 1,311,475,417,559,875,584/528,673,728
  6. Step 6: Final answer
    x = 2,480,689,597.57

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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.