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Finding the Third Proportional to 46,347,414 and 70,117,641

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Solution

The third proportional to 46,347,414 and 70,117,641 is: 106,078,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,347,414 : 70,117,641 = 70,117,641 : x
  2. Step 2: Convert to fraction form
    46,347,414/70,117,641 = 70,117,641/x
  3. Step 3: Cross multiply
    46,347,414x = 70,117,641 × 70,117,641
  4. Step 4: Simplify right side
    46,347,414x = 4,916,483,579,404,881
  5. Step 5: Solve for x
    x = 4,916,483,579,404,881/46,347,414
  6. Step 6: Final answer
    x = 106,078,919.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.