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Finding the Third Proportional to 3,897,465,368 and 9,197,320,688

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Solution

The third proportional to 3,897,465,368 and 9,197,320,688 is: 21,704,030,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,465,368 : 9,197,320,688 = 9,197,320,688 : x
  2. Step 2: Convert to fraction form
    3,897,465,368/9,197,320,688 = 9,197,320,688/x
  3. Step 3: Cross multiply
    3,897,465,368x = 9,197,320,688 × 9,197,320,688
  4. Step 4: Simplify right side
    3,897,465,368x = 84,590,707,837,912,793,088
  5. Step 5: Solve for x
    x = 84,590,707,837,912,793,088/3,897,465,368
  6. Step 6: Final answer
    x = 21,704,030,658.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.