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Finding the Third Proportional to 670,413,681 and 1,443,287,448

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Solution

The third proportional to 670,413,681 and 1,443,287,448 is: 3,107,154,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,413,681 : 1,443,287,448 = 1,443,287,448 : x
  2. Step 2: Convert to fraction form
    670,413,681/1,443,287,448 = 1,443,287,448/x
  3. Step 3: Cross multiply
    670,413,681x = 1,443,287,448 × 1,443,287,448
  4. Step 4: Simplify right side
    670,413,681x = 2,083,078,657,554,352,640
  5. Step 5: Solve for x
    x = 2,083,078,657,554,352,640/670,413,681
  6. Step 6: Final answer
    x = 3,107,154,159.57

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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.