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Finding the Third Proportional to 11,687,549,008 and 25,030,005,600

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Solution

The third proportional to 11,687,549,008 and 25,030,005,600 is: 53,604,154,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687,549,008 : 25,030,005,600 = 25,030,005,600 : x
  2. Step 2: Convert to fraction form
    11,687,549,008/25,030,005,600 = 25,030,005,600/x
  3. Step 3: Cross multiply
    11,687,549,008x = 25,030,005,600 × 25,030,005,600
  4. Step 4: Simplify right side
    11,687,549,008x = 626,501,180,336,031,399,936
  5. Step 5: Solve for x
    x = 626,501,180,336,031,399,936/11,687,549,008
  6. Step 6: Final answer
    x = 53,604,154,293.36

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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.