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Finding the Third Proportional to 5,707,721,005 and 8,732,174,066

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Solution

The third proportional to 5,707,721,005 and 8,732,174,066 is: 13,359,248,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707,721,005 : 8,732,174,066 = 8,732,174,066 : x
  2. Step 2: Convert to fraction form
    5,707,721,005/8,732,174,066 = 8,732,174,066/x
  3. Step 3: Cross multiply
    5,707,721,005x = 8,732,174,066 × 8,732,174,066
  4. Step 4: Simplify right side
    5,707,721,005x = 76,250,863,918,922,973,184
  5. Step 5: Solve for x
    x = 76,250,863,918,922,973,184/5,707,721,005
  6. Step 6: Final answer
    x = 13,359,248,612.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.