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Finding the Third Proportional to 961,262,038 and 1,973,483,058

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Solution

The third proportional to 961,262,038 and 1,973,483,058 is: 4,051,585,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,262,038 : 1,973,483,058 = 1,973,483,058 : x
  2. Step 2: Convert to fraction form
    961,262,038/1,973,483,058 = 1,973,483,058/x
  3. Step 3: Cross multiply
    961,262,038x = 1,973,483,058 × 1,973,483,058
  4. Step 4: Simplify right side
    961,262,038x = 3,894,635,380,213,031,424
  5. Step 5: Solve for x
    x = 3,894,635,380,213,031,424/961,262,038
  6. Step 6: Final answer
    x = 4,051,585,547.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.