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Finding the Third Proportional to 46,943,750 and 71,810,445

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Solution

The third proportional to 46,943,750 and 71,810,445 is: 109,849,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,943,750 : 71,810,445 = 71,810,445 : x
  2. Step 2: Convert to fraction form
    46,943,750/71,810,445 = 71,810,445/x
  3. Step 3: Cross multiply
    46,943,750x = 71,810,445 × 71,810,445
  4. Step 4: Simplify right side
    46,943,750x = 5,156,740,011,098,025
  5. Step 5: Solve for x
    x = 5,156,740,011,098,025/46,943,750
  6. Step 6: Final answer
    x = 109,849,341.20

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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.