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Finding the Third Proportional to 6,070,549,914 and 13,536,915,102

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Solution

The third proportional to 6,070,549,914 and 13,536,915,102 is: 30,186,403,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070,549,914 : 13,536,915,102 = 13,536,915,102 : x
  2. Step 2: Convert to fraction form
    6,070,549,914/13,536,915,102 = 13,536,915,102/x
  3. Step 3: Cross multiply
    6,070,549,914x = 13,536,915,102 × 13,536,915,102
  4. Step 4: Simplify right side
    6,070,549,914x = 183,248,070,478,755,659,776
  5. Step 5: Solve for x
    x = 183,248,070,478,755,659,776/6,070,549,914
  6. Step 6: Final answer
    x = 30,186,403,715.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.