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Finding the Third Proportional to 917,535,977,536 and 1,439,343,204,666

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Solution

The third proportional to 917,535,977,536 and 1,439,343,204,666 is: 2,257,904,770,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,535,977,536 : 1,439,343,204,666 = 1,439,343,204,666 : x
  2. Step 2: Convert to fraction form
    917,535,977,536/1,439,343,204,666 = 1,439,343,204,666/x
  3. Step 3: Cross multiply
    917,535,977,536x = 1,439,343,204,666 × 1,439,343,204,666
  4. Step 4: Simplify right side
    917,535,977,536x = 2,071,708,860,818,190,803,927,040
  5. Step 5: Solve for x
    x = 2,071,708,860,818,190,803,927,040/917,535,977,536
  6. Step 6: Final answer
    x = 2,257,904,770,537.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.