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Finding the Third Proportional to 6,117,447,688 and 9,446,409,822

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Solution

The third proportional to 6,117,447,688 and 9,446,409,822 is: 14,586,909,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117,447,688 : 9,446,409,822 = 9,446,409,822 : x
  2. Step 2: Convert to fraction form
    6,117,447,688/9,446,409,822 = 9,446,409,822/x
  3. Step 3: Cross multiply
    6,117,447,688x = 9,446,409,822 × 9,446,409,822
  4. Step 4: Simplify right side
    6,117,447,688x = 89,234,658,525,178,068,992
  5. Step 5: Solve for x
    x = 89,234,658,525,178,068,992/6,117,447,688
  6. Step 6: Final answer
    x = 14,586,909,946.16

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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.