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Finding the Third Proportional to 47,735,613.56 and 70,708,595.63

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Solution

The third proportional to 47,735,613.56 and 70,708,595.63 is: 104,737,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,735,613.56 : 70,708,595.63 = 70,708,595.63 : x
  2. Step 2: Convert to fraction form
    47,735,613.56/70,708,595.63 = 70,708,595.63/x
  3. Step 3: Cross multiply
    47,735,613.56x = 70,708,595.63 × 70,708,595.63
  4. Step 4: Simplify right side
    47,735,613.56x = 4,999,705,495,259,769
  5. Step 5: Solve for x
    x = 4,999,705,495,259,769/47,735,613.56
  6. Step 6: Final answer
    x = 104,737,430.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.