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Finding the Third Proportional to 687,899,443,969 and 1,496,573,497,810

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Solution

The third proportional to 687,899,443,969 and 1,496,573,497,810 is: 3,255,900,631,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,899,443,969 : 1,496,573,497,810 = 1,496,573,497,810 : x
  2. Step 2: Convert to fraction form
    687,899,443,969/1,496,573,497,810 = 1,496,573,497,810/x
  3. Step 3: Cross multiply
    687,899,443,969x = 1,496,573,497,810 × 1,496,573,497,810
  4. Step 4: Simplify right side
    687,899,443,969x = 2,239,732,234,347,258,159,562,752
  5. Step 5: Solve for x
    x = 2,239,732,234,347,258,159,562,752/687,899,443,969
  6. Step 6: Final answer
    x = 3,255,900,631,965.32

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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.