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Finding the Third Proportional to 465,631,370 and 1,013,931,340

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Solution

The third proportional to 465,631,370 and 1,013,931,340 is: 2,207,876,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,631,370 : 1,013,931,340 = 1,013,931,340 : x
  2. Step 2: Convert to fraction form
    465,631,370/1,013,931,340 = 1,013,931,340/x
  3. Step 3: Cross multiply
    465,631,370x = 1,013,931,340 × 1,013,931,340
  4. Step 4: Simplify right side
    465,631,370x = 1,028,056,762,234,195,584
  5. Step 5: Solve for x
    x = 1,028,056,762,234,195,584/465,631,370
  6. Step 6: Final answer
    x = 2,207,876,935.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.