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Finding the Third Proportional to 551,877,664 and 1,201,732,928

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Solution

The third proportional to 551,877,664 and 1,201,732,928 is: 2,616,815,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,877,664 : 1,201,732,928 = 1,201,732,928 : x
  2. Step 2: Convert to fraction form
    551,877,664/1,201,732,928 = 1,201,732,928/x
  3. Step 3: Cross multiply
    551,877,664x = 1,201,732,928 × 1,201,732,928
  4. Step 4: Simplify right side
    551,877,664x = 1,444,162,030,239,453,184
  5. Step 5: Solve for x
    x = 1,444,162,030,239,453,184/551,877,664
  6. Step 6: Final answer
    x = 2,616,815,509.02

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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.