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Finding the Third Proportional to 249,914,948,394 and 380,719,602,111

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Solution

The third proportional to 249,914,948,394 and 380,719,602,111 is: 579,986,977,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,914,948,394 : 380,719,602,111 = 380,719,602,111 : x
  2. Step 2: Convert to fraction form
    249,914,948,394/380,719,602,111 = 380,719,602,111/x
  3. Step 3: Cross multiply
    249,914,948,394x = 380,719,602,111 × 380,719,602,111
  4. Step 4: Simplify right side
    249,914,948,394x = 144,947,415,431,558,151,012,352
  5. Step 5: Solve for x
    x = 144,947,415,431,558,151,012,352/249,914,948,394
  6. Step 6: Final answer
    x = 579,986,977,021.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.