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Finding the Third Proportional to 1,622,745,070 and 2,424,565,065

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Solution

The third proportional to 1,622,745,070 and 2,424,565,065 is: 3,622,575,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622,745,070 : 2,424,565,065 = 2,424,565,065 : x
  2. Step 2: Convert to fraction form
    1,622,745,070/2,424,565,065 = 2,424,565,065/x
  3. Step 3: Cross multiply
    1,622,745,070x = 2,424,565,065 × 2,424,565,065
  4. Step 4: Simplify right side
    1,622,745,070x = 5,878,515,754,418,454,528
  5. Step 5: Solve for x
    x = 5,878,515,754,418,454,528/1,622,745,070
  6. Step 6: Final answer
    x = 3,622,575,020.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.