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Finding the Third Proportional to 4,280,790,755 and 6,549,130,553

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Solution

The third proportional to 4,280,790,755 and 6,549,130,553 is: 10,019,436,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280,790,755 : 6,549,130,553 = 6,549,130,553 : x
  2. Step 2: Convert to fraction form
    4,280,790,755/6,549,130,553 = 6,549,130,553/x
  3. Step 3: Cross multiply
    4,280,790,755x = 6,549,130,553 × 6,549,130,553
  4. Step 4: Simplify right side
    4,280,790,755x = 42,891,111,000,238,088,192
  5. Step 5: Solve for x
    x = 42,891,111,000,238,088,192/4,280,790,755
  6. Step 6: Final answer
    x = 10,019,436,467.47

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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.