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Finding the Third Proportional to 761,338,166,913 and 1,151,815,126,887

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Solution

The third proportional to 761,338,166,913 and 1,151,815,126,887 is: 1,742,560,854,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,338,166,913 : 1,151,815,126,887 = 1,151,815,126,887 : x
  2. Step 2: Convert to fraction form
    761,338,166,913/1,151,815,126,887 = 1,151,815,126,887/x
  3. Step 3: Cross multiply
    761,338,166,913x = 1,151,815,126,887 × 1,151,815,126,887
  4. Step 4: Simplify right side
    761,338,166,913x = 1,326,678,086,525,715,837,091,840
  5. Step 5: Solve for x
    x = 1,326,678,086,525,715,837,091,840/761,338,166,913
  6. Step 6: Final answer
    x = 1,742,560,854,271.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.