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Finding the Third Proportional to 1,306,053,382 and 2,841,680,528

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Solution

The third proportional to 1,306,053,382 and 2,841,680,528 is: 6,182,862,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,053,382 : 2,841,680,528 = 2,841,680,528 : x
  2. Step 2: Convert to fraction form
    1,306,053,382/2,841,680,528 = 2,841,680,528/x
  3. Step 3: Cross multiply
    1,306,053,382x = 2,841,680,528 × 2,841,680,528
  4. Step 4: Simplify right side
    1,306,053,382x = 8,075,148,223,214,358,528
  5. Step 5: Solve for x
    x = 8,075,148,223,214,358,528/1,306,053,382
  6. Step 6: Final answer
    x = 6,182,862,304.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.