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Finding the Third Proportional to 266,414,830,440 and 575,291,564,400

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Solution

The third proportional to 266,414,830,440 and 575,291,564,400 is: 1,242,274,626,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,414,830,440 : 575,291,564,400 = 575,291,564,400 : x
  2. Step 2: Convert to fraction form
    266,414,830,440/575,291,564,400 = 575,291,564,400/x
  3. Step 3: Cross multiply
    266,414,830,440x = 575,291,564,400 × 575,291,564,400
  4. Step 4: Simplify right side
    266,414,830,440x = 330,960,384,069,799,342,243,840
  5. Step 5: Solve for x
    x = 330,960,384,069,799,342,243,840/266,414,830,440
  6. Step 6: Final answer
    x = 1,242,274,626,841.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.