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Finding the Third Proportional to 7,580,510,447 and 16,359,602,424

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Solution

The third proportional to 7,580,510,447 and 16,359,602,424 is: 35,305,879,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580,510,447 : 16,359,602,424 = 16,359,602,424 : x
  2. Step 2: Convert to fraction form
    7,580,510,447/16,359,602,424 = 16,359,602,424/x
  3. Step 3: Cross multiply
    7,580,510,447x = 16,359,602,424 × 16,359,602,424
  4. Step 4: Simplify right side
    7,580,510,447x = 267,636,591,471,346,679,808
  5. Step 5: Solve for x
    x = 267,636,591,471,346,679,808/7,580,510,447
  6. Step 6: Final answer
    x = 35,305,879,906.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.