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Finding the Third Proportional to 2,837,108,866,415.10 and 4,237,071,974,719.40

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Solution

The third proportional to 2,837,108,866,415.10 and 4,237,071,974,719.40 is: 6,327,842,802,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837,108,866,415.10 : 4,237,071,974,719.40 = 4,237,071,974,719.40 : x
  2. Step 2: Convert to fraction form
    2,837,108,866,415.10/4,237,071,974,719.40 = 4,237,071,974,719.40/x
  3. Step 3: Cross multiply
    2,837,108,866,415.10x = 4,237,071,974,719.40 × 4,237,071,974,719.40
  4. Step 4: Simplify right side
    2,837,108,866,415.10x = 17,952,778,918,952,554,326,917,120
  5. Step 5: Solve for x
    x = 17,952,778,918,952,554,326,917,120/2,837,108,866,415.10
  6. Step 6: Final answer
    x = 6,327,842,802,041.37

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