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Finding the Third Proportional to 883,346,304 and 1,858,073,784

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Solution

The third proportional to 883,346,304 and 1,858,073,784 is: 3,908,363,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,346,304 : 1,858,073,784 = 1,858,073,784 : x
  2. Step 2: Convert to fraction form
    883,346,304/1,858,073,784 = 1,858,073,784/x
  3. Step 3: Cross multiply
    883,346,304x = 1,858,073,784 × 1,858,073,784
  4. Step 4: Simplify right side
    883,346,304x = 3,452,438,186,788,078,592
  5. Step 5: Solve for x
    x = 3,452,438,186,788,078,592/883,346,304
  6. Step 6: Final answer
    x = 3,908,363,199.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.