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Finding the Third Proportional to 1,488,054,868 and 2,450,237,982

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Solution

The third proportional to 1,488,054,868 and 2,450,237,982 is: 4,034,573,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488,054,868 : 2,450,237,982 = 2,450,237,982 : x
  2. Step 2: Convert to fraction form
    1,488,054,868/2,450,237,982 = 2,450,237,982/x
  3. Step 3: Cross multiply
    1,488,054,868x = 2,450,237,982 × 2,450,237,982
  4. Step 4: Simplify right side
    1,488,054,868x = 6,003,666,168,435,432,448
  5. Step 5: Solve for x
    x = 6,003,666,168,435,432,448/1,488,054,868
  6. Step 6: Final answer
    x = 4,034,573,117.93

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.