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Finding the Third Proportional to 375,748,564 and 777,272,017

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Solution

The third proportional to 375,748,564 and 777,272,017 is: 1,607,861,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,748,564 : 777,272,017 = 777,272,017 : x
  2. Step 2: Convert to fraction form
    375,748,564/777,272,017 = 777,272,017/x
  3. Step 3: Cross multiply
    375,748,564x = 777,272,017 × 777,272,017
  4. Step 4: Simplify right side
    375,748,564x = 604,151,788,411,248,256
  5. Step 5: Solve for x
    x = 604,151,788,411,248,256/375,748,564
  6. Step 6: Final answer
    x = 1,607,861,869.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.