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Finding the Third Proportional to 462,478,632.75 and 680,943,682.13

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Solution

The third proportional to 462,478,632.75 and 680,943,682.13 is: 1,002,606,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,478,632.75 : 680,943,682.13 = 680,943,682.13 : x
  2. Step 2: Convert to fraction form
    462,478,632.75/680,943,682.13 = 680,943,682.13/x
  3. Step 3: Cross multiply
    462,478,632.75x = 680,943,682.13 × 680,943,682.13
  4. Step 4: Simplify right side
    462,478,632.75x = 463,684,298,225,953,024
  5. Step 5: Solve for x
    x = 463,684,298,225,953,024/462,478,632.75
  6. Step 6: Final answer
    x = 1,002,606,964.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.