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Finding the Third Proportional to 1,837,582,254 and 2,824,495,896

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Solution

The third proportional to 1,837,582,254 and 2,824,495,896 is: 4,341,453,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837,582,254 : 2,824,495,896 = 2,824,495,896 : x
  2. Step 2: Convert to fraction form
    1,837,582,254/2,824,495,896 = 2,824,495,896/x
  3. Step 3: Cross multiply
    1,837,582,254x = 2,824,495,896 × 2,824,495,896
  4. Step 4: Simplify right side
    1,837,582,254x = 7,977,777,066,520,843,264
  5. Step 5: Solve for x
    x = 7,977,777,066,520,843,264/1,837,582,254
  6. Step 6: Final answer
    x = 4,341,453,041.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.