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Finding the Third Proportional to 1,460,943,628 and 3,128,750,706

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Solution

The third proportional to 1,460,943,628 and 3,128,750,706 is: 6,700,519,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,943,628 : 3,128,750,706 = 3,128,750,706 : x
  2. Step 2: Convert to fraction form
    1,460,943,628/3,128,750,706 = 3,128,750,706/x
  3. Step 3: Cross multiply
    1,460,943,628x = 3,128,750,706 × 3,128,750,706
  4. Step 4: Simplify right side
    1,460,943,628x = 9,789,080,980,295,497,728
  5. Step 5: Solve for x
    x = 9,789,080,980,295,497,728/1,460,943,628
  6. Step 6: Final answer
    x = 6,700,519,303.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.