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Finding the Third Proportional to 985,140,306 and 2,141,754,534

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Solution

The third proportional to 985,140,306 and 2,141,754,534 is: 4,656,303,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,140,306 : 2,141,754,534 = 2,141,754,534 : x
  2. Step 2: Convert to fraction form
    985,140,306/2,141,754,534 = 2,141,754,534/x
  3. Step 3: Cross multiply
    985,140,306x = 2,141,754,534 × 2,141,754,534
  4. Step 4: Simplify right side
    985,140,306x = 4,587,112,483,909,557,248
  5. Step 5: Solve for x
    x = 4,587,112,483,909,557,248/985,140,306
  6. Step 6: Final answer
    x = 4,656,303,732.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.