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Finding the Third Proportional to 3,356,011,080 and 4,666,265,156.25

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Solution

The third proportional to 3,356,011,080 and 4,666,265,156.25 is: 6,488,068,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356,011,080 : 4,666,265,156.25 = 4,666,265,156.25 : x
  2. Step 2: Convert to fraction form
    3,356,011,080/4,666,265,156.25 = 4,666,265,156.25/x
  3. Step 3: Cross multiply
    3,356,011,080x = 4,666,265,156.25 × 4,666,265,156.25
  4. Step 4: Simplify right side
    3,356,011,080x = 21,774,030,508,432,838,656
  5. Step 5: Solve for x
    x = 21,774,030,508,432,838,656/3,356,011,080
  6. Step 6: Final answer
    x = 6,488,068,718.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.