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Finding the Third Proportional to 445,671,732 and 977,436,948

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Solution

The third proportional to 445,671,732 and 977,436,948 is: 2,143,692,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,671,732 : 977,436,948 = 977,436,948 : x
  2. Step 2: Convert to fraction form
    445,671,732/977,436,948 = 977,436,948/x
  3. Step 3: Cross multiply
    445,671,732x = 977,436,948 × 977,436,948
  4. Step 4: Simplify right side
    445,671,732x = 955,382,987,315,554,688
  5. Step 5: Solve for x
    x = 955,382,987,315,554,688/445,671,732
  6. Step 6: Final answer
    x = 2,143,692,136.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.