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Finding the Third Proportional to 6,717,356,226 and 14,576,527,656

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Solution

The third proportional to 6,717,356,226 and 14,576,527,656 is: 31,630,771,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717,356,226 : 14,576,527,656 = 14,576,527,656 : x
  2. Step 2: Convert to fraction form
    6,717,356,226/14,576,527,656 = 14,576,527,656/x
  3. Step 3: Cross multiply
    6,717,356,226x = 14,576,527,656 × 14,576,527,656
  4. Step 4: Simplify right side
    6,717,356,226x = 212,475,158,506,132,865,024
  5. Step 5: Solve for x
    x = 212,475,158,506,132,865,024/6,717,356,226
  6. Step 6: Final answer
    x = 31,630,771,297.16

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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.