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Finding the Third Proportional to 1,460,943,628 and 3,128,750,704

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Solution

The third proportional to 1,460,943,628 and 3,128,750,704 is: 6,700,519,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,943,628 : 3,128,750,704 = 3,128,750,704 : x
  2. Step 2: Convert to fraction form
    1,460,943,628/3,128,750,704 = 3,128,750,704/x
  3. Step 3: Cross multiply
    1,460,943,628x = 3,128,750,704 × 3,128,750,704
  4. Step 4: Simplify right side
    1,460,943,628x = 9,789,080,967,780,495,360
  5. Step 5: Solve for x
    x = 9,789,080,967,780,495,360/1,460,943,628
  6. Step 6: Final answer
    x = 6,700,519,294.63

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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.