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Finding the Third Proportional to 2,249,785,552 and 4,895,624,286

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Solution

The third proportional to 2,249,785,552 and 4,895,624,286 is: 10,653,076,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249,785,552 : 4,895,624,286 = 4,895,624,286 : x
  2. Step 2: Convert to fraction form
    2,249,785,552/4,895,624,286 = 4,895,624,286/x
  3. Step 3: Cross multiply
    2,249,785,552x = 4,895,624,286 × 4,895,624,286
  4. Step 4: Simplify right side
    2,249,785,552x = 23,967,137,149,673,009,152
  5. Step 5: Solve for x
    x = 23,967,137,149,673,009,152/2,249,785,552
  6. Step 6: Final answer
    x = 10,653,076,302.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.