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Finding the Third Proportional to 40,133,946 and 61,495,140

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Solution

The third proportional to 40,133,946 and 61,495,140 is: 94,225,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,133,946 : 61,495,140 = 61,495,140 : x
  2. Step 2: Convert to fraction form
    40,133,946/61,495,140 = 61,495,140/x
  3. Step 3: Cross multiply
    40,133,946x = 61,495,140 × 61,495,140
  4. Step 4: Simplify right side
    40,133,946x = 3,781,652,243,619,600
  5. Step 5: Solve for x
    x = 3,781,652,243,619,600/40,133,946
  6. Step 6: Final answer
    x = 94,225,776.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.