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Finding the Third Proportional to 217,675,632 and 473,613,548

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Solution

The third proportional to 217,675,632 and 473,613,548 is: 1,030,477,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,675,632 : 473,613,548 = 473,613,548 : x
  2. Step 2: Convert to fraction form
    217,675,632/473,613,548 = 473,613,548/x
  3. Step 3: Cross multiply
    217,675,632x = 473,613,548 × 473,613,548
  4. Step 4: Simplify right side
    217,675,632x = 224,309,792,849,148,288
  5. Step 5: Solve for x
    x = 224,309,792,849,148,288/217,675,632
  6. Step 6: Final answer
    x = 1,030,477,278.45

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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.