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Finding the Third Proportional to 4,603,626,774 and 6,730,663,353

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Solution

The third proportional to 4,603,626,774 and 6,730,663,353 is: 9,840,465,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603,626,774 : 6,730,663,353 = 6,730,663,353 : x
  2. Step 2: Convert to fraction form
    4,603,626,774/6,730,663,353 = 6,730,663,353/x
  3. Step 3: Cross multiply
    4,603,626,774x = 6,730,663,353 × 6,730,663,353
  4. Step 4: Simplify right side
    4,603,626,774x = 45,301,829,171,417,202,688
  5. Step 5: Solve for x
    x = 45,301,829,171,417,202,688/4,603,626,774
  6. Step 6: Final answer
    x = 9,840,465,223.48

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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.