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Finding the Third Proportional to 1,023,611,140 and 2,210,328,248

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Solution

The third proportional to 1,023,611,140 and 2,210,328,248 is: 4,772,858,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,611,140 : 2,210,328,248 = 2,210,328,248 : x
  2. Step 2: Convert to fraction form
    1,023,611,140/2,210,328,248 = 2,210,328,248/x
  3. Step 3: Cross multiply
    1,023,611,140x = 2,210,328,248 × 2,210,328,248
  4. Step 4: Simplify right side
    1,023,611,140x = 4,885,550,963,906,749,440
  5. Step 5: Solve for x
    x = 4,885,550,963,906,749,440/1,023,611,140
  6. Step 6: Final answer
    x = 4,772,858,337.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.