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Finding the Third Proportional to 465,631,377 and 1,013,931,351

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Solution

The third proportional to 465,631,377 and 1,013,931,351 is: 2,207,876,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,631,377 : 1,013,931,351 = 1,013,931,351 : x
  2. Step 2: Convert to fraction form
    465,631,377/1,013,931,351 = 1,013,931,351/x
  3. Step 3: Cross multiply
    465,631,377x = 1,013,931,351 × 1,013,931,351
  4. Step 4: Simplify right side
    465,631,377x = 1,028,056,784,540,685,184
  5. Step 5: Solve for x
    x = 1,028,056,784,540,685,184/465,631,377
  6. Step 6: Final answer
    x = 2,207,876,950.14

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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.