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Finding the Third Proportional to 14,242,684,421 and 20,937,377,921.50

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Solution

The third proportional to 14,242,684,421 and 20,937,377,921.50 is: 30,778,874,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242,684,421 : 20,937,377,921.50 = 20,937,377,921.50 : x
  2. Step 2: Convert to fraction form
    14,242,684,421/20,937,377,921.50 = 20,937,377,921.50/x
  3. Step 3: Cross multiply
    14,242,684,421x = 20,937,377,921.50 × 20,937,377,921.50
  4. Step 4: Simplify right side
    14,242,684,421x = 438,373,794,227,715,637,248
  5. Step 5: Solve for x
    x = 438,373,794,227,715,637,248/14,242,684,421
  6. Step 6: Final answer
    x = 30,778,874,351.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.