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Finding the Third Proportional to 7,347,836,613 and 11,346,642,487.13

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Solution

The third proportional to 7,347,836,613 and 11,346,642,487.13 is: 17,521,660,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347,836,613 : 11,346,642,487.13 = 11,346,642,487.13 : x
  2. Step 2: Convert to fraction form
    7,347,836,613/11,346,642,487.13 = 11,346,642,487.13/x
  3. Step 3: Cross multiply
    7,347,836,613x = 11,346,642,487.13 × 11,346,642,487.13
  4. Step 4: Simplify right side
    7,347,836,613x = 128,746,295,730,630,213,632
  5. Step 5: Solve for x
    x = 128,746,295,730,630,213,632/7,347,836,613
  6. Step 6: Final answer
    x = 17,521,660,117.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.