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Finding the Third Proportional to 1,191,400,946 and 2,597,321,090

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Solution

The third proportional to 1,191,400,946 and 2,597,321,090 is: 5,662,306,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,400,946 : 2,597,321,090 = 2,597,321,090 : x
  2. Step 2: Convert to fraction form
    1,191,400,946/2,597,321,090 = 2,597,321,090/x
  3. Step 3: Cross multiply
    1,191,400,946x = 2,597,321,090 × 2,597,321,090
  4. Step 4: Simplify right side
    1,191,400,946x = 6,746,076,844,558,788,608
  5. Step 5: Solve for x
    x = 6,746,076,844,558,788,608/1,191,400,946
  6. Step 6: Final answer
    x = 5,662,306,100.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.