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Finding the Third Proportional to 44,762,796,791 and 97,078,214,053

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Solution

The third proportional to 44,762,796,791 and 97,078,214,053 is: 210,535,987,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,762,796,791 : 97,078,214,053 = 97,078,214,053 : x
  2. Step 2: Convert to fraction form
    44,762,796,791/97,078,214,053 = 97,078,214,053/x
  3. Step 3: Cross multiply
    44,762,796,791x = 97,078,214,053 × 97,078,214,053
  4. Step 4: Simplify right side
    44,762,796,791x = 9,424,179,643,720,086,323,200
  5. Step 5: Solve for x
    x = 9,424,179,643,720,086,323,200/44,762,796,791
  6. Step 6: Final answer
    x = 210,535,987,903.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.