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Finding the Third Proportional to 437,287,868 and 670,547,382

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Solution

The third proportional to 437,287,868 and 670,547,382 is: 1,028,232,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,287,868 : 670,547,382 = 670,547,382 : x
  2. Step 2: Convert to fraction form
    437,287,868/670,547,382 = 670,547,382/x
  3. Step 3: Cross multiply
    437,287,868x = 670,547,382 × 670,547,382
  4. Step 4: Simplify right side
    437,287,868x = 449,633,791,507,053,952
  5. Step 5: Solve for x
    x = 449,633,791,507,053,952/437,287,868
  6. Step 6: Final answer
    x = 1,028,232,943.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.