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Finding the Third Proportional to 1,174,110,066 and 2,516,290,353

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Solution

The third proportional to 1,174,110,066 and 2,516,290,353 is: 5,392,779,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174,110,066 : 2,516,290,353 = 2,516,290,353 : x
  2. Step 2: Convert to fraction form
    1,174,110,066/2,516,290,353 = 2,516,290,353/x
  3. Step 3: Cross multiply
    1,174,110,066x = 2,516,290,353 × 2,516,290,353
  4. Step 4: Simplify right side
    1,174,110,066x = 6,331,717,140,600,864,768
  5. Step 5: Solve for x
    x = 6,331,717,140,600,864,768/1,174,110,066
  6. Step 6: Final answer
    x = 5,392,779,879.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.