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Finding the Third Proportional to 465,631,380 and 1,013,931,358

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Solution

The third proportional to 465,631,380 and 1,013,931,358 is: 2,207,876,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,631,380 : 1,013,931,358 = 1,013,931,358 : x
  2. Step 2: Convert to fraction form
    465,631,380/1,013,931,358 = 1,013,931,358/x
  3. Step 3: Cross multiply
    465,631,380x = 1,013,931,358 × 1,013,931,358
  4. Step 4: Simplify right side
    465,631,380x = 1,028,056,798,735,724,160
  5. Step 5: Solve for x
    x = 1,028,056,798,735,724,160/465,631,380
  6. Step 6: Final answer
    x = 2,207,876,966.40

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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.