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Finding the Third Proportional to 838,748,368 and 1,250,849,010

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Solution

The third proportional to 838,748,368 and 1,250,849,010 is: 1,865,426,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,748,368 : 1,250,849,010 = 1,250,849,010 : x
  2. Step 2: Convert to fraction form
    838,748,368/1,250,849,010 = 1,250,849,010/x
  3. Step 3: Cross multiply
    838,748,368x = 1,250,849,010 × 1,250,849,010
  4. Step 4: Simplify right side
    838,748,368x = 1,564,623,245,817,980,160
  5. Step 5: Solve for x
    x = 1,564,623,245,817,980,160/838,748,368
  6. Step 6: Final answer
    x = 1,865,426,277.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.