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Finding the Third Proportional to 6,537,197,345 and 9,172,981,981

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Solution

The third proportional to 6,537,197,345 and 9,172,981,981 is: 12,871,509,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537,197,345 : 9,172,981,981 = 9,172,981,981 : x
  2. Step 2: Convert to fraction form
    6,537,197,345/9,172,981,981 = 9,172,981,981/x
  3. Step 3: Cross multiply
    6,537,197,345x = 9,172,981,981 × 9,172,981,981
  4. Step 4: Simplify right side
    6,537,197,345x = 84,143,598,423,750,688,768
  5. Step 5: Solve for x
    x = 84,143,598,423,750,688,768/6,537,197,345
  6. Step 6: Final answer
    x = 12,871,509,606.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.