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Finding the Third Proportional to 18,975,973,633,604 and 26,722,352,411,700

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Solution

The third proportional to 18,975,973,633,604 and 26,722,352,411,700 is: 37,630,960,719,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,975,973,633,604 : 26,722,352,411,700 = 26,722,352,411,700 : x
  2. Step 2: Convert to fraction form
    18,975,973,633,604/26,722,352,411,700 = 26,722,352,411,700/x
  3. Step 3: Cross multiply
    18,975,973,633,604x = 26,722,352,411,700 × 26,722,352,411,700
  4. Step 4: Simplify right side
    18,975,973,633,604x = 714,084,118,415,088,869,913,395,200
  5. Step 5: Solve for x
    x = 714,084,118,415,088,869,913,395,200/18,975,973,633,604
  6. Step 6: Final answer
    x = 37,630,960,719,219.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.