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Finding the Third Proportional to 581,813,076 and 1,255,919,496

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Solution

The third proportional to 581,813,076 and 1,255,919,496 is: 2,711,066,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,813,076 : 1,255,919,496 = 1,255,919,496 : x
  2. Step 2: Convert to fraction form
    581,813,076/1,255,919,496 = 1,255,919,496/x
  3. Step 3: Cross multiply
    581,813,076x = 1,255,919,496 × 1,255,919,496
  4. Step 4: Simplify right side
    581,813,076x = 1,577,333,780,432,893,952
  5. Step 5: Solve for x
    x = 1,577,333,780,432,893,952/581,813,076
  6. Step 6: Final answer
    x = 2,711,066,226.42

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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.