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Finding the Third Proportional to 4,129,392,232 and 6,312,585,894

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Solution

The third proportional to 4,129,392,232 and 6,312,585,894 is: 9,650,025,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129,392,232 : 6,312,585,894 = 6,312,585,894 : x
  2. Step 2: Convert to fraction form
    4,129,392,232/6,312,585,894 = 6,312,585,894/x
  3. Step 3: Cross multiply
    4,129,392,232x = 6,312,585,894 × 6,312,585,894
  4. Step 4: Simplify right side
    4,129,392,232x = 39,848,740,669,127,778,304
  5. Step 5: Solve for x
    x = 39,848,740,669,127,778,304/4,129,392,232
  6. Step 6: Final answer
    x = 9,650,025,580.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.