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Finding the Third Proportional to 931,838,574.94 and 2,070,532,038.94

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Solution

The third proportional to 931,838,574.94 and 2,070,532,038.94 is: 4,600,692,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,838,574.94 : 2,070,532,038.94 = 2,070,532,038.94 : x
  2. Step 2: Convert to fraction form
    931,838,574.94/2,070,532,038.94 = 2,070,532,038.94/x
  3. Step 3: Cross multiply
    931,838,574.94x = 2,070,532,038.94 × 2,070,532,038.94
  4. Step 4: Simplify right side
    931,838,574.94x = 4,287,102,924,266,680,832
  5. Step 5: Solve for x
    x = 4,287,102,924,266,680,832/931,838,574.94
  6. Step 6: Final answer
    x = 4,600,692,694.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.