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Finding the Third Proportional to 1,574,594,763 and 3,382,864,461

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Solution

The third proportional to 1,574,594,763 and 3,382,864,461 is: 7,267,756,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,594,763 : 3,382,864,461 = 3,382,864,461 : x
  2. Step 2: Convert to fraction form
    1,574,594,763/3,382,864,461 = 3,382,864,461/x
  3. Step 3: Cross multiply
    1,574,594,763x = 3,382,864,461 × 3,382,864,461
  4. Step 4: Simplify right side
    1,574,594,763x = 11,443,771,961,496,819,712
  5. Step 5: Solve for x
    x = 11,443,771,961,496,819,712/1,574,594,763
  6. Step 6: Final answer
    x = 7,267,756,905.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.