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Finding the Third Proportional to 344,939,129,484 and 750,617,766,552

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Solution

The third proportional to 344,939,129,484 and 750,617,766,552 is: 1,633,410,023,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,939,129,484 : 750,617,766,552 = 750,617,766,552 : x
  2. Step 2: Convert to fraction form
    344,939,129,484/750,617,766,552 = 750,617,766,552/x
  3. Step 3: Cross multiply
    344,939,129,484x = 750,617,766,552 × 750,617,766,552
  4. Step 4: Simplify right side
    344,939,129,484x = 563,427,031,463,512,774,803,456
  5. Step 5: Solve for x
    x = 563,427,031,463,512,774,803,456/344,939,129,484
  6. Step 6: Final answer
    x = 1,633,410,023,114.37

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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.