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Finding the Third Proportional to 4,603,626,772 and 6,730,663,350

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Solution

The third proportional to 4,603,626,772 and 6,730,663,350 is: 9,840,465,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603,626,772 : 6,730,663,350 = 6,730,663,350 : x
  2. Step 2: Convert to fraction form
    4,603,626,772/6,730,663,350 = 6,730,663,350/x
  3. Step 3: Cross multiply
    4,603,626,772x = 6,730,663,350 × 6,730,663,350
  4. Step 4: Simplify right side
    4,603,626,772x = 45,301,829,131,033,223,168
  5. Step 5: Solve for x
    x = 45,301,829,131,033,223,168/4,603,626,772
  6. Step 6: Final answer
    x = 9,840,465,218.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.