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Finding the Third Proportional to 598,810,608 and 1,310,506,065.50

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Solution

The third proportional to 598,810,608 and 1,310,506,065.50 is: 2,868,062,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,810,608 : 1,310,506,065.50 = 1,310,506,065.50 : x
  2. Step 2: Convert to fraction form
    598,810,608/1,310,506,065.50 = 1,310,506,065.50/x
  3. Step 3: Cross multiply
    598,810,608x = 1,310,506,065.50 × 1,310,506,065.50
  4. Step 4: Simplify right side
    598,810,608x = 1,717,426,147,712,290,304
  5. Step 5: Solve for x
    x = 1,717,426,147,712,290,304/598,810,608
  6. Step 6: Final answer
    x = 2,868,062,330.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.