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Finding the Third Proportional to 46,070,784 and 100,818,688

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Solution

The third proportional to 46,070,784 and 100,818,688 is: 220,625,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,070,784 : 100,818,688 = 100,818,688 : x
  2. Step 2: Convert to fraction form
    46,070,784/100,818,688 = 100,818,688/x
  3. Step 3: Cross multiply
    46,070,784x = 100,818,688 × 100,818,688
  4. Step 4: Simplify right side
    46,070,784x = 10,164,407,850,041,344
  5. Step 5: Solve for x
    x = 10,164,407,850,041,344/46,070,784
  6. Step 6: Final answer
    x = 220,625,892.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.