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Finding the Third Proportional to 878,881,824 and 1,329,634,224

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Solution

The third proportional to 878,881,824 and 1,329,634,224 is: 2,011,564,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,881,824 : 1,329,634,224 = 1,329,634,224 : x
  2. Step 2: Convert to fraction form
    878,881,824/1,329,634,224 = 1,329,634,224/x
  3. Step 3: Cross multiply
    878,881,824x = 1,329,634,224 × 1,329,634,224
  4. Step 4: Simplify right side
    878,881,824x = 1,767,927,169,632,082,176
  5. Step 5: Solve for x
    x = 1,767,927,169,632,082,176/878,881,824
  6. Step 6: Final answer
    x = 2,011,564,150.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.