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Finding the Third Proportional to 2,031,153,460 and 2,806,592,658

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Solution

The third proportional to 2,031,153,460 and 2,806,592,658 is: 3,878,073,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,153,460 : 2,806,592,658 = 2,806,592,658 : x
  2. Step 2: Convert to fraction form
    2,031,153,460/2,806,592,658 = 2,806,592,658/x
  3. Step 3: Cross multiply
    2,031,153,460x = 2,806,592,658 × 2,806,592,658
  4. Step 4: Simplify right side
    2,031,153,460x = 7,876,962,347,939,505,152
  5. Step 5: Solve for x
    x = 7,876,962,347,939,505,152/2,031,153,460
  6. Step 6: Final answer
    x = 3,878,073,470.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.