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Finding the Third Proportional to 5,303,852,487 and 11,549,352,114

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Solution

The third proportional to 5,303,852,487 and 11,549,352,114 is: 25,149,178,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303,852,487 : 11,549,352,114 = 11,549,352,114 : x
  2. Step 2: Convert to fraction form
    5,303,852,487/11,549,352,114 = 11,549,352,114/x
  3. Step 3: Cross multiply
    5,303,852,487x = 11,549,352,114 × 11,549,352,114
  4. Step 4: Simplify right side
    5,303,852,487x = 133,387,534,253,156,270,080
  5. Step 5: Solve for x
    x = 133,387,534,253,156,270,080/5,303,852,487
  6. Step 6: Final answer
    x = 25,149,178,748.86

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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.