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Finding the Third Proportional to 157,527,838,074 and 338,947,681,638

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Solution

The third proportional to 157,527,838,074 and 338,947,681,638 is: 729,303,038,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,527,838,074 : 338,947,681,638 = 338,947,681,638 : x
  2. Step 2: Convert to fraction form
    157,527,838,074/338,947,681,638 = 338,947,681,638/x
  3. Step 3: Cross multiply
    157,527,838,074x = 338,947,681,638 × 338,947,681,638
  4. Step 4: Simplify right side
    157,527,838,074x = 114,885,530,887,775,009,636,352
  5. Step 5: Solve for x
    x = 114,885,530,887,775,009,636,352/157,527,838,074
  6. Step 6: Final answer
    x = 729,303,038,068.78

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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.