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Finding the Third Proportional to 547,931,122 and 802,238,947

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Solution

The third proportional to 547,931,122 and 802,238,947 is: 1,174,577,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,931,122 : 802,238,947 = 802,238,947 : x
  2. Step 2: Convert to fraction form
    547,931,122/802,238,947 = 802,238,947/x
  3. Step 3: Cross multiply
    547,931,122x = 802,238,947 × 802,238,947
  4. Step 4: Simplify right side
    547,931,122x = 643,587,328,083,668,864
  5. Step 5: Solve for x
    x = 643,587,328,083,668,864/547,931,122
  6. Step 6: Final answer
    x = 1,174,577,063.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.