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Finding the Third Proportional to 710,315,892,948 and 1,657,461,027,927

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Solution

The third proportional to 710,315,892,948 and 1,657,461,027,927 is: 3,867,542,717,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,315,892,948 : 1,657,461,027,927 = 1,657,461,027,927 : x
  2. Step 2: Convert to fraction form
    710,315,892,948/1,657,461,027,927 = 1,657,461,027,927/x
  3. Step 3: Cross multiply
    710,315,892,948x = 1,657,461,027,927 × 1,657,461,027,927
  4. Step 4: Simplify right side
    710,315,892,948x = 2,747,177,059,096,827,541,848,064
  5. Step 5: Solve for x
    x = 2,747,177,059,096,827,541,848,064/710,315,892,948
  6. Step 6: Final answer
    x = 3,867,542,717,783.37

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.