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Finding the Third Proportional to 2,249,785,550 and 4,895,624,282

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Solution

The third proportional to 2,249,785,550 and 4,895,624,282 is: 10,653,076,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249,785,550 : 4,895,624,282 = 4,895,624,282 : x
  2. Step 2: Convert to fraction form
    2,249,785,550/4,895,624,282 = 4,895,624,282/x
  3. Step 3: Cross multiply
    2,249,785,550x = 4,895,624,282 × 4,895,624,282
  4. Step 4: Simplify right side
    2,249,785,550x = 23,967,137,110,508,015,616
  5. Step 5: Solve for x
    x = 23,967,137,110,508,015,616/2,249,785,550
  6. Step 6: Final answer
    x = 10,653,076,294.54

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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.