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Finding the Third Proportional to 1,909,112,490 and 4,109,997,024

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Solution

The third proportional to 1,909,112,490 and 4,109,997,024 is: 8,848,130,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,112,490 : 4,109,997,024 = 4,109,997,024 : x
  2. Step 2: Convert to fraction form
    1,909,112,490/4,109,997,024 = 4,109,997,024/x
  3. Step 3: Cross multiply
    1,909,112,490x = 4,109,997,024 × 4,109,997,024
  4. Step 4: Simplify right side
    1,909,112,490x = 16,892,075,537,288,855,552
  5. Step 5: Solve for x
    x = 16,892,075,537,288,855,552/1,909,112,490
  6. Step 6: Final answer
    x = 8,848,130,021.55

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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.