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Finding the Third Proportional to 64,432,915,557 and 130,703,055,865

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Solution

The third proportional to 64,432,915,557 and 130,703,055,865 is: 265,132,947,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,432,915,557 : 130,703,055,865 = 130,703,055,865 : x
  2. Step 2: Convert to fraction form
    64,432,915,557/130,703,055,865 = 130,703,055,865/x
  3. Step 3: Cross multiply
    64,432,915,557x = 130,703,055,865 × 130,703,055,865
  4. Step 4: Simplify right side
    64,432,915,557x = 17,083,288,812,449,309,917,184
  5. Step 5: Solve for x
    x = 17,083,288,812,449,309,917,184/64,432,915,557
  6. Step 6: Final answer
    x = 265,132,947,419.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.