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Finding the Third Proportional to 11,687,549,010 and 25,030,005,604

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Solution

The third proportional to 11,687,549,010 and 25,030,005,604 is: 53,604,154,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687,549,010 : 25,030,005,604 = 25,030,005,604 : x
  2. Step 2: Convert to fraction form
    11,687,549,010/25,030,005,604 = 25,030,005,604/x
  3. Step 3: Cross multiply
    11,687,549,010x = 25,030,005,604 × 25,030,005,604
  4. Step 4: Simplify right side
    11,687,549,010x = 626,501,180,536,271,405,056
  5. Step 5: Solve for x
    x = 626,501,180,536,271,405,056/11,687,549,010
  6. Step 6: Final answer
    x = 53,604,154,301.32

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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.