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Finding the Third Proportional to 4,280,790,753 and 6,549,130,550

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Solution

The third proportional to 4,280,790,753 and 6,549,130,550 is: 10,019,436,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280,790,753 : 6,549,130,550 = 6,549,130,550 : x
  2. Step 2: Convert to fraction form
    4,280,790,753/6,549,130,550 = 6,549,130,550/x
  3. Step 3: Cross multiply
    4,280,790,753x = 6,549,130,550 × 6,549,130,550
  4. Step 4: Simplify right side
    4,280,790,753x = 42,891,110,960,943,300,608
  5. Step 5: Solve for x
    x = 42,891,110,960,943,300,608/4,280,790,753
  6. Step 6: Final answer
    x = 10,019,436,462.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.