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Finding the Third Proportional to 6,322,697,549,334 and 8,530,803,566,618.70

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Solution

The third proportional to 6,322,697,549,334 and 8,530,803,566,618.70 is: 11,510,057,048,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322,697,549,334 : 8,530,803,566,618.70 = 8,530,803,566,618.70 : x
  2. Step 2: Convert to fraction form
    6,322,697,549,334/8,530,803,566,618.70 = 8,530,803,566,618.70/x
  3. Step 3: Cross multiply
    6,322,697,549,334x = 8,530,803,566,618.70 × 8,530,803,566,618.70
  4. Step 4: Simplify right side
    6,322,697,549,334x = 72,774,609,492,234,332,306,145,280
  5. Step 5: Solve for x
    x = 72,774,609,492,234,332,306,145,280/6,322,697,549,334
  6. Step 6: Final answer
    x = 11,510,057,048,340.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.