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Finding the Third Proportional to 1,614,186,506 and 3,357,201,528

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Solution

The third proportional to 1,614,186,506 and 3,357,201,528 is: 6,982,341,915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,186,506 : 3,357,201,528 = 3,357,201,528 : x
  2. Step 2: Convert to fraction form
    1,614,186,506/3,357,201,528 = 3,357,201,528/x
  3. Step 3: Cross multiply
    1,614,186,506x = 3,357,201,528 × 3,357,201,528
  4. Step 4: Simplify right side
    1,614,186,506x = 11,270,802,099,605,534,720
  5. Step 5: Solve for x
    x = 11,270,802,099,605,534,720/1,614,186,506
  6. Step 6: Final answer
    x = 6,982,341,915.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.