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Finding the Third Proportional to 872,139,813.75 and 1,340,539,048.13

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Solution

The third proportional to 872,139,813.75 and 1,340,539,048.13 is: 2,060,500,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,139,813.75 : 1,340,539,048.13 = 1,340,539,048.13 : x
  2. Step 2: Convert to fraction form
    872,139,813.75/1,340,539,048.13 = 1,340,539,048.13/x
  3. Step 3: Cross multiply
    872,139,813.75x = 1,340,539,048.13 × 1,340,539,048.13
  4. Step 4: Simplify right side
    872,139,813.75x = 1,797,044,939,547,880,960
  5. Step 5: Solve for x
    x = 1,797,044,939,547,880,960/872,139,813.75
  6. Step 6: Final answer
    x = 2,060,500,978.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.