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Finding the Third Proportional to 584,698,148 and 1,300,125,044

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Solution

The third proportional to 584,698,148 and 1,300,125,044 is: 2,890,936,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,698,148 : 1,300,125,044 = 1,300,125,044 : x
  2. Step 2: Convert to fraction form
    584,698,148/1,300,125,044 = 1,300,125,044/x
  3. Step 3: Cross multiply
    584,698,148x = 1,300,125,044 × 1,300,125,044
  4. Step 4: Simplify right side
    584,698,148x = 1,690,325,130,036,002,048
  5. Step 5: Solve for x
    x = 1,690,325,130,036,002,048/584,698,148
  6. Step 6: Final answer
    x = 2,890,936,350.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.