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Finding the Third Proportional to 1,023,612,718 and 2,210,333,476

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Solution

The third proportional to 1,023,612,718 and 2,210,333,476 is: 4,772,873,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,612,718 : 2,210,333,476 = 2,210,333,476 : x
  2. Step 2: Convert to fraction form
    1,023,612,718/2,210,333,476 = 2,210,333,476/x
  3. Step 3: Cross multiply
    1,023,612,718x = 2,210,333,476 × 2,210,333,476
  4. Step 4: Simplify right side
    1,023,612,718x = 4,885,574,075,126,242,304
  5. Step 5: Solve for x
    x = 4,885,574,075,126,242,304/1,023,612,718
  6. Step 6: Final answer
    x = 4,772,873,557.76

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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.