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Finding the Third Proportional to 528,866,452,806 and 1,133,182,650,251

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Solution

The third proportional to 528,866,452,806 and 1,133,182,650,251 is: 2,428,028,686,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,866,452,806 : 1,133,182,650,251 = 1,133,182,650,251 : x
  2. Step 2: Convert to fraction form
    528,866,452,806/1,133,182,650,251 = 1,133,182,650,251/x
  3. Step 3: Cross multiply
    528,866,452,806x = 1,133,182,650,251 × 1,133,182,650,251
  4. Step 4: Simplify right side
    528,866,452,806x = 1,284,102,918,829,880,087,937,024
  5. Step 5: Solve for x
    x = 1,284,102,918,829,880,087,937,024/528,866,452,806
  6. Step 6: Final answer
    x = 2,428,028,686,669.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.