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Finding the Third Proportional to 5,847,239,070 and 12,626,426,640

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Solution

The third proportional to 5,847,239,070 and 12,626,426,640 is: 27,265,286,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847,239,070 : 12,626,426,640 = 12,626,426,640 : x
  2. Step 2: Convert to fraction form
    5,847,239,070/12,626,426,640 = 12,626,426,640/x
  3. Step 3: Cross multiply
    5,847,239,070x = 12,626,426,640 × 12,626,426,640
  4. Step 4: Simplify right side
    5,847,239,070x = 159,426,649,695,301,697,536
  5. Step 5: Solve for x
    x = 159,426,649,695,301,697,536/5,847,239,070
  6. Step 6: Final answer
    x = 27,265,286,708.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.