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Finding the Third Proportional to 702,389,670,246 and 1,117,640,044,032.80

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Solution

The third proportional to 702,389,670,246 and 1,117,640,044,032.80 is: 1,778,385,020,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,389,670,246 : 1,117,640,044,032.80 = 1,117,640,044,032.80 : x
  2. Step 2: Convert to fraction form
    702,389,670,246/1,117,640,044,032.80 = 1,117,640,044,032.80/x
  3. Step 3: Cross multiply
    702,389,670,246x = 1,117,640,044,032.80 × 1,117,640,044,032.80
  4. Step 4: Simplify right side
    702,389,670,246x = 1,249,119,268,025,639,177,814,016
  5. Step 5: Solve for x
    x = 1,249,119,268,025,639,177,814,016/702,389,670,246
  6. Step 6: Final answer
    x = 1,778,385,020,366.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.