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Finding the Third Proportional to 3,509,674,683 and 7,623,513,438

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Solution

The third proportional to 3,509,674,683 and 7,623,513,438 is: 16,559,357,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509,674,683 : 7,623,513,438 = 7,623,513,438 : x
  2. Step 2: Convert to fraction form
    3,509,674,683/7,623,513,438 = 7,623,513,438/x
  3. Step 3: Cross multiply
    3,509,674,683x = 7,623,513,438 × 7,623,513,438
  4. Step 4: Simplify right side
    3,509,674,683x = 58,117,957,139,366,576,128
  5. Step 5: Solve for x
    x = 58,117,957,139,366,576,128/3,509,674,683
  6. Step 6: Final answer
    x = 16,559,357,316.19

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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.