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Finding the Third Proportional to 127,759,140 and 277,938,441

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Solution

The third proportional to 127,759,140 and 277,938,441 is: 604,651,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,759,140 : 277,938,441 = 277,938,441 : x
  2. Step 2: Convert to fraction form
    127,759,140/277,938,441 = 277,938,441/x
  3. Step 3: Cross multiply
    127,759,140x = 277,938,441 × 277,938,441
  4. Step 4: Simplify right side
    127,759,140x = 77,249,776,985,510,480
  5. Step 5: Solve for x
    x = 77,249,776,985,510,480/127,759,140
  6. Step 6: Final answer
    x = 604,651,667.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.