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Finding the Third Proportional to 616,624,792 and 1,455,171,921

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Solution

The third proportional to 616,624,792 and 1,455,171,921 is: 3,434,058,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,624,792 : 1,455,171,921 = 1,455,171,921 : x
  2. Step 2: Convert to fraction form
    616,624,792/1,455,171,921 = 1,455,171,921/x
  3. Step 3: Cross multiply
    616,624,792x = 1,455,171,921 × 1,455,171,921
  4. Step 4: Simplify right side
    616,624,792x = 2,117,525,319,666,830,336
  5. Step 5: Solve for x
    x = 2,117,525,319,666,830,336/616,624,792
  6. Step 6: Final answer
    x = 3,434,058,031.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.