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Finding the Third Proportional to 9,892,455,720 and 21,334,549,656

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Solution

The third proportional to 9,892,455,720 and 21,334,549,656 is: 46,011,124,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892,455,720 : 21,334,549,656 = 21,334,549,656 : x
  2. Step 2: Convert to fraction form
    9,892,455,720/21,334,549,656 = 21,334,549,656/x
  3. Step 3: Cross multiply
    9,892,455,720x = 21,334,549,656 × 21,334,549,656
  4. Step 4: Simplify right side
    9,892,455,720x = 455,163,009,024,329,711,616
  5. Step 5: Solve for x
    x = 455,163,009,024,329,711,616/9,892,455,720
  6. Step 6: Final answer
    x = 46,011,124,225.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.