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Finding the Third Proportional to 2,249,785,548 and 4,895,624,278.13

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Solution

The third proportional to 2,249,785,548 and 4,895,624,278.13 is: 10,653,076,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249,785,548 : 4,895,624,278.13 = 4,895,624,278.13 : x
  2. Step 2: Convert to fraction form
    2,249,785,548/4,895,624,278.13 = 4,895,624,278.13/x
  3. Step 3: Cross multiply
    2,249,785,548x = 4,895,624,278.13 × 4,895,624,278.13
  4. Step 4: Simplify right side
    2,249,785,548x = 23,967,137,072,566,927,360
  5. Step 5: Solve for x
    x = 23,967,137,072,566,927,360/2,249,785,548
  6. Step 6: Final answer
    x = 10,653,076,287.15

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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.