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Finding the Third Proportional to 531,656,453,408 and 1,143,948,425,336

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Solution

The third proportional to 531,656,453,408 and 1,143,948,425,336 is: 2,461,397,753,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,656,453,408 : 1,143,948,425,336 = 1,143,948,425,336 : x
  2. Step 2: Convert to fraction form
    531,656,453,408/1,143,948,425,336 = 1,143,948,425,336/x
  3. Step 3: Cross multiply
    531,656,453,408x = 1,143,948,425,336 × 1,143,948,425,336
  4. Step 4: Simplify right side
    531,656,453,408x = 1,308,617,999,828,714,004,676,608
  5. Step 5: Solve for x
    x = 1,308,617,999,828,714,004,676,608/531,656,453,408
  6. Step 6: Final answer
    x = 2,461,397,753,079.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.