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Finding the Third Proportional to 21,249,639,231 and 31,757,340,622.50

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Solution

The third proportional to 21,249,639,231 and 31,757,340,622.50 is: 47,460,979,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249,639,231 : 31,757,340,622.50 = 31,757,340,622.50 : x
  2. Step 2: Convert to fraction form
    21,249,639,231/31,757,340,622.50 = 31,757,340,622.50/x
  3. Step 3: Cross multiply
    21,249,639,231x = 31,757,340,622.50 × 31,757,340,622.50
  4. Step 4: Simplify right side
    21,249,639,231x = 1,008,528,683,413,488,664,576
  5. Step 5: Solve for x
    x = 1,008,528,683,413,488,664,576/21,249,639,231
  6. Step 6: Final answer
    x = 47,460,979,099.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.