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Finding the Third Proportional to 3,337,528,255 and 7,255,590,206

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Solution

The third proportional to 3,337,528,255 and 7,255,590,206 is: 15,773,226,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337,528,255 : 7,255,590,206 = 7,255,590,206 : x
  2. Step 2: Convert to fraction form
    3,337,528,255/7,255,590,206 = 7,255,590,206/x
  3. Step 3: Cross multiply
    3,337,528,255x = 7,255,590,206 × 7,255,590,206
  4. Step 4: Simplify right side
    3,337,528,255x = 52,643,589,237,403,123,712
  5. Step 5: Solve for x
    x = 52,643,589,237,403,123,712/3,337,528,255
  6. Step 6: Final answer
    x = 15,773,226,536.30

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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.