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Finding the Third Proportional to 5,658,771,762 and 12,177,506,916

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Solution

The third proportional to 5,658,771,762 and 12,177,506,916 is: 26,205,629,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658,771,762 : 12,177,506,916 = 12,177,506,916 : x
  2. Step 2: Convert to fraction form
    5,658,771,762/12,177,506,916 = 12,177,506,916/x
  3. Step 3: Cross multiply
    5,658,771,762x = 12,177,506,916 × 12,177,506,916
  4. Step 4: Simplify right side
    5,658,771,762x = 148,291,674,689,227,816,960
  5. Step 5: Solve for x
    x = 148,291,674,689,227,816,960/5,658,771,762
  6. Step 6: Final answer
    x = 26,205,629,229.48

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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.