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Finding the Third Proportional to 2,628,428,516 and 5,655,506,751

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Solution

The third proportional to 2,628,428,516 and 5,655,506,751 is: 12,168,775,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628,428,516 : 5,655,506,751 = 5,655,506,751 : x
  2. Step 2: Convert to fraction form
    2,628,428,516/5,655,506,751 = 5,655,506,751/x
  3. Step 3: Cross multiply
    2,628,428,516x = 5,655,506,751 × 5,655,506,751
  4. Step 4: Simplify right side
    2,628,428,516x = 31,984,756,610,606,575,616
  5. Step 5: Solve for x
    x = 31,984,756,610,606,575,616/2,628,428,516
  6. Step 6: Final answer
    x = 12,168,775,531.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.