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Finding the Third Proportional to 4,768,786,735,019 and 10,400,673,681,605

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Solution

The third proportional to 4,768,786,735,019 and 10,400,673,681,605 is: 22,683,759,841,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768,786,735,019 : 10,400,673,681,605 = 10,400,673,681,605 : x
  2. Step 2: Convert to fraction form
    4,768,786,735,019/10,400,673,681,605 = 10,400,673,681,605/x
  3. Step 3: Cross multiply
    4,768,786,735,019x = 10,400,673,681,605 × 10,400,673,681,605
  4. Step 4: Simplify right side
    4,768,786,735,019x = 108,174,013,031,230,903,064,461,312
  5. Step 5: Solve for x
    x = 108,174,013,031,230,903,064,461,312/4,768,786,735,019
  6. Step 6: Final answer
    x = 22,683,759,841,233.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.