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Finding the Third Proportional to 1,050,258,352 and 2,142,703,516

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Solution

The third proportional to 1,050,258,352 and 2,142,703,516 is: 4,371,475,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,258,352 : 2,142,703,516 = 2,142,703,516 : x
  2. Step 2: Convert to fraction form
    1,050,258,352/2,142,703,516 = 2,142,703,516/x
  3. Step 3: Cross multiply
    1,050,258,352x = 2,142,703,516 × 2,142,703,516
  4. Step 4: Simplify right side
    1,050,258,352x = 4,591,178,357,478,762,496
  5. Step 5: Solve for x
    x = 4,591,178,357,478,762,496/1,050,258,352
  6. Step 6: Final answer
    x = 4,371,475,217.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.